Minimal factorization of matrix and operator functions. Zbl 0424.47001
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1979
|
Factorization of matrix and operator functions. The state space method. Zbl 1149.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. |
|
2008
|
Matricial coupling and equivalence after extension. Zbl 0807.47003
Bart, H.; Tsekanovskii, V. E. |
|
1992
|
Factorizations of transfer functions. Zbl 0458.93018
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Van Dooren, P. |
|
1980
|
A state space approach to canonical factorization with applications. Zbl 1203.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. |
|
2010
|
Constructive methods of Wiener-Hopf factorization. Zbl 0612.47025
|
|
1986
|
Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators. Zbl 0606.47021
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1986
|
The coupling method for solving integral equations. Zbl 0543.45002
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1984
|
Logarithmic residues in Banach algebras. Zbl 0811.46043
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
1994
|
Characterizations of almost periodic strongly continuous groups and semigroups. Zbl 0365.47019
Bart, Harm; Goldberg, Seymour |
|
1978
|
Convolution equations and linear systems. Zbl 0481.45005
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1982
|
Schur complements and state space realizations. Zbl 1083.47016
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. |
|
2005
|
Logarithmic residues of Fredholm operator valued functions and sums of finite rank projections. Zbl 1051.30046
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2002
|
Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions. Zbl 0645.15012
Bart, H.; Hoogland, H. |
|
1988
|
Stable factorizations of monic matrix polynomials and stable invariant subspaces. Zbl 0398.47011
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1978
|
Zero sums of idempotents in Banach algebras. Zbl 0811.46042
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
1994
|
Sums of idempotents and logarithmic residues in matrix algebras. Zbl 1047.46037
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2001
|
Wiener-Hopf integral equations, Toeplitz matrices and linear systems. Zbl 0481.45004
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1982
|
Complementary Schur complements. Zbl 0795.15006
Bart, H.; Tsekanovskii, V. E. |
|
1994
|
Relative inverses of meromorphic operator functions and associated projection functions. Zbl 0301.47029
Bart, Harm; Kaashoek, M. A.; Lay, D. C. |
|
1975
|
Periodic strongly continuous semigroups. Zbl 0376.47018
Bart, Harm |
|
1978
|
Simultaneous reduction to companion and triangular forms of sets of matrices. Zbl 0716.15011
Bart, H.; Thijsse, G. Ph. A. |
|
1990
|
Holomorphic relative inverses of operator valued functions. Zbl 0265.47028
Bart, Harm |
|
1974
|
Wiener-Hopf factorization and realization. Zbl 0539.93008
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1984
|
Stability properties of finite meromorphic operator functions. I. Zbl 0286.47008
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1974
|
Poles of a generalised resolvent operator. Zbl 0294.47002
Bart, Harm; Lay, David C. |
|
1974
|
Spectral properties of locally holomorphic vector-valued functions. Zbl 0287.46049
Bart, Harm |
|
1974
|
Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras. Zbl 0894.46038
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
1997
|
Upper triangularization of matrices by lower triangular similarities. Zbl 0645.15013
Bart, H.; Jansen, P. S. M. Kop |
|
1988
|
Companion based matrix functions: Description and minimal factorization. Zbl 0862.15017
Bart, H.; Kroon, L. G. |
|
1996
|
Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse. Zbl 1014.46019
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2002
|
Complementary triangular forms of upper triangular Toeplitz matrices. Zbl 0674.15017
Bart, H.; Thijsse, G. Ph. A. |
|
1989
|
Meromorphic operator valued functions. Zbl 0288.47022
Bart, H. |
|
1973
|
Operator polynomials as inverses of characteristic functions. Zbl 0383.47012
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1978
|
Sums of idempotents and logarithmic residues in zero pattern matrix algebras. Zbl 1334.15039
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2016
|
Logarithmic residues, Rouché’s theorem, and spectral regularity: The \(C^{\ast}\)-algebra case. Zbl 1279.47028
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2012
|
Logarithmic residues in the Banach algebra generated by the compact operators and the identity. Zbl 1069.47015
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2004
|
Transfer functions and operator theory. Zbl 0612.47013
Bart, H |
|
1986
|
Trace conditions for regular spectral behavior of vector-valued analytic functions. Zbl 1188.47014
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2009
|
Decomposition of operator functions and the multiplication problem for small ideals. Zbl 0435.47023
Bart, H.; Kaballo, W.; Thijsse, G. Ph. A. |
|
1980
|
Zero sums of idempotents and Banach algebras failing to be spectrally regular. Zbl 1291.46048
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2013
|
An integer programming problem and rank decomposition of block upper triangular matrices. Zbl 0951.15013
Bart, H.; Wagelmans, A. P. M. |
|
2000
|
Addendum to: The coupling method for solving integral equations. Zbl 0591.45003
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1985
|
The integral formula for the reduced algebraic multiplicity of meromorphic operator functions. Zbl 0376.47008
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1978
|
Simultaneous reduction to triangular and companion forms of pairs of matrices: The case \(rank(I-AZ)=1\). Zbl 0724.15011
Bart, H.; Wimmer, H. K. |
|
1991
|
Rank decomposition in zero pattern matrix algebras. Zbl 1413.15010
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2016
|
Variants of the two machine flow shop problem connected with factorization of matrix functions. Zbl 0947.90576
Bart, H.; Kroon, L. G. |
|
1996
|
Poles of the resolvent of an operator function. Zbl 0272.47015
Bart, H. |
|
1974
|
Stability properties of finite meromorphic operator functions. III. Zbl 0286.47010
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1974
|
Similarity invariants for pairs of upper triangular Toeplitz matrices. Zbl 0715.15005
Bart, H.; Thijsse, G. Ph. A. |
|
1991
|
Spectral regularity of Banach algebras and non-commutative Gelfand theory. Zbl 1268.30040
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2012
|
Echelon type canonical forms in upper triangular matrix algebras. Zbl 1365.15014
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2017
|
The stability radius of a bundle of closed linear operators. Zbl 0435.47022
Bart, H.; Lay, D. C. |
|
1980
|
L-free directed bipartite graphs and echelon-type canonical forms. Zbl 1427.15016
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2018
|
Approximately finite-dimensional Banach algebras are spectrally regular. Zbl 1335.47010
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2015
|
Factorization and job scheduling: A connection via companion based matrix functions. Zbl 0862.15018
Bart, Harm; Kroon, Leo G. |
|
1996
|
Sums of idempotents in the Banach algebra generated by the compact operators and the identity. Zbl 1042.46021
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2002
|
Fredholm theory of Wiener-Hopf equations in terms of realization of their symbols. Zbl 0578.45005
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1985
|
Unions of rank/trace complete preorders. Zbl 1417.15019
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2019
|
Families of homomorphisms in non-commutative Gelfand theory: comparisons and examples. Zbl 1262.46030
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2012
|
How small can a sum of idempotents be? Zbl 1504.47063
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2020
|
Quasicomplete factorization and the two machine flow shop problem. Zbl 0941.90031
Bart, Harm; Kroon, Leo; Zuidwijk, Rob |
|
1998
|
Stability properties of finite meromorphic operator functions. II. Zbl 0286.47009
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1974
|
The state space method in problems of analysis. Zbl 0627.45002
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1987
|
Upper triangularization of matrices by permutations and lower triangular similarity transformations. Zbl 0655.65046
Bart, H. |
|
1988
|
An indicator for Wiener-Hopf integral equations with invertible analytic symbol. Zbl 0507.45002
Bart, H.; Kroon, L. G. |
|
1983
|
Addenda and errata: An indicator for Wiener-Hopf integral equations with invertible analytic symbol. Zbl 0521.45002
Bart, H.; Kroon, L. G. |
|
1983
|
Wiener-Hopf equations and linear systems. Zbl 0885.45002
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1997
|
Simultaneous reduction to triangular forms after extension with zeroes. Zbl 0941.15004
Bart, H.; Zuidwijk, R. A. |
|
1998
|
Simultaneous complementary triangular forms for pairs of matrices. Zbl 0685.15010
Bart, H.; Thijsse, G. Ph. A. |
|
1989
|
Operator theory and systems. Proceedings Workshop Amsterdam, June 4-7, 1985. Zbl 0594.00010
|
|
1986
|
Rank decomposition under zero pattern constraints and \(\mathsf{L}\)-free directed graphs. Zbl 1464.15002
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2021
|
Local invertibility of meromorphic operator functions. Zbl 0384.47020
Bart, H.; Kaballo, W. |
|
1978
|
Rank decomposition under zero pattern constraints and \(\mathsf{L}\)-free directed graphs. Zbl 1464.15002
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2021
|
How small can a sum of idempotents be? Zbl 1504.47063
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2020
|
Unions of rank/trace complete preorders. Zbl 1417.15019
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2019
|
L-free directed bipartite graphs and echelon-type canonical forms. Zbl 1427.15016
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2018
|
Echelon type canonical forms in upper triangular matrix algebras. Zbl 1365.15014
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2017
|
Sums of idempotents and logarithmic residues in zero pattern matrix algebras. Zbl 1334.15039
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2016
|
Rank decomposition in zero pattern matrix algebras. Zbl 1413.15010
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2016
|
Approximately finite-dimensional Banach algebras are spectrally regular. Zbl 1335.47010
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2015
|
Zero sums of idempotents and Banach algebras failing to be spectrally regular. Zbl 1291.46048
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2013
|
Logarithmic residues, Rouché’s theorem, and spectral regularity: The \(C^{\ast}\)-algebra case. Zbl 1279.47028
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2012
|
Spectral regularity of Banach algebras and non-commutative Gelfand theory. Zbl 1268.30040
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2012
|
Families of homomorphisms in non-commutative Gelfand theory: comparisons and examples. Zbl 1262.46030
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2012
|
A state space approach to canonical factorization with applications. Zbl 1203.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. |
|
2010
|
Trace conditions for regular spectral behavior of vector-valued analytic functions. Zbl 1188.47014
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2009
|
Factorization of matrix and operator functions. The state space method. Zbl 1149.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. |
|
2008
|
Schur complements and state space realizations. Zbl 1083.47016
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. |
|
2005
|
Logarithmic residues in the Banach algebra generated by the compact operators and the identity. Zbl 1069.47015
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2004
|
Logarithmic residues of Fredholm operator valued functions and sums of finite rank projections. Zbl 1051.30046
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2002
|
Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse. Zbl 1014.46019
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd |
|
2002
|
Sums of idempotents in the Banach algebra generated by the compact operators and the identity. Zbl 1042.46021
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2002
|
Sums of idempotents and logarithmic residues in matrix algebras. Zbl 1047.46037
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
2001
|
An integer programming problem and rank decomposition of block upper triangular matrices. Zbl 0951.15013
Bart, H.; Wagelmans, A. P. M. |
|
2000
|
Quasicomplete factorization and the two machine flow shop problem. Zbl 0941.90031
Bart, Harm; Kroon, Leo; Zuidwijk, Rob |
|
1998
|
Simultaneous reduction to triangular forms after extension with zeroes. Zbl 0941.15004
Bart, H.; Zuidwijk, R. A. |
|
1998
|
Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras. Zbl 0894.46038
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
1997
|
Wiener-Hopf equations and linear systems. Zbl 0885.45002
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1997
|
Companion based matrix functions: Description and minimal factorization. Zbl 0862.15017
Bart, H.; Kroon, L. G. |
|
1996
|
Variants of the two machine flow shop problem connected with factorization of matrix functions. Zbl 0947.90576
Bart, H.; Kroon, L. G. |
|
1996
|
Factorization and job scheduling: A connection via companion based matrix functions. Zbl 0862.15018
Bart, Harm; Kroon, Leo G. |
|
1996
|
Logarithmic residues in Banach algebras. Zbl 0811.46043
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
1994
|
Zero sums of idempotents in Banach algebras. Zbl 0811.46042
Bart, H.; Ehrhardt, T.; Silbermann, B. |
|
1994
|
Complementary Schur complements. Zbl 0795.15006
Bart, H.; Tsekanovskii, V. E. |
|
1994
|
Matricial coupling and equivalence after extension. Zbl 0807.47003
Bart, H.; Tsekanovskii, V. E. |
|
1992
|
Simultaneous reduction to triangular and companion forms of pairs of matrices: The case \(rank(I-AZ)=1\). Zbl 0724.15011
Bart, H.; Wimmer, H. K. |
|
1991
|
Similarity invariants for pairs of upper triangular Toeplitz matrices. Zbl 0715.15005
Bart, H.; Thijsse, G. Ph. A. |
|
1991
|
Simultaneous reduction to companion and triangular forms of sets of matrices. Zbl 0716.15011
Bart, H.; Thijsse, G. Ph. A. |
|
1990
|
Complementary triangular forms of upper triangular Toeplitz matrices. Zbl 0674.15017
Bart, H.; Thijsse, G. Ph. A. |
|
1989
|
Simultaneous complementary triangular forms for pairs of matrices. Zbl 0685.15010
Bart, H.; Thijsse, G. Ph. A. |
|
1989
|
Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions. Zbl 0645.15012
Bart, H.; Hoogland, H. |
|
1988
|
Upper triangularization of matrices by lower triangular similarities. Zbl 0645.15013
Bart, H.; Jansen, P. S. M. Kop |
|
1988
|
Upper triangularization of matrices by permutations and lower triangular similarity transformations. Zbl 0655.65046
Bart, H. |
|
1988
|
The state space method in problems of analysis. Zbl 0627.45002
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1987
|
Constructive methods of Wiener-Hopf factorization. Zbl 0612.47025
|
|
1986
|
Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators. Zbl 0606.47021
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1986
|
Transfer functions and operator theory. Zbl 0612.47013
Bart, H |
|
1986
|
Operator theory and systems. Proceedings Workshop Amsterdam, June 4-7, 1985. Zbl 0594.00010
|
|
1986
|
Addendum to: The coupling method for solving integral equations. Zbl 0591.45003
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1985
|
Fredholm theory of Wiener-Hopf equations in terms of realization of their symbols. Zbl 0578.45005
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1985
|
The coupling method for solving integral equations. Zbl 0543.45002
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1984
|
Wiener-Hopf factorization and realization. Zbl 0539.93008
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1984
|
An indicator for Wiener-Hopf integral equations with invertible analytic symbol. Zbl 0507.45002
Bart, H.; Kroon, L. G. |
|
1983
|
Addenda and errata: An indicator for Wiener-Hopf integral equations with invertible analytic symbol. Zbl 0521.45002
Bart, H.; Kroon, L. G. |
|
1983
|
Convolution equations and linear systems. Zbl 0481.45005
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1982
|
Wiener-Hopf integral equations, Toeplitz matrices and linear systems. Zbl 0481.45004
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1982
|
Factorizations of transfer functions. Zbl 0458.93018
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Van Dooren, P. |
|
1980
|
Decomposition of operator functions and the multiplication problem for small ideals. Zbl 0435.47023
Bart, H.; Kaballo, W.; Thijsse, G. Ph. A. |
|
1980
|
The stability radius of a bundle of closed linear operators. Zbl 0435.47022
Bart, H.; Lay, D. C. |
|
1980
|
Minimal factorization of matrix and operator functions. Zbl 0424.47001
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1979
|
Characterizations of almost periodic strongly continuous groups and semigroups. Zbl 0365.47019
Bart, Harm; Goldberg, Seymour |
|
1978
|
Stable factorizations of monic matrix polynomials and stable invariant subspaces. Zbl 0398.47011
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1978
|
Periodic strongly continuous semigroups. Zbl 0376.47018
Bart, Harm |
|
1978
|
Operator polynomials as inverses of characteristic functions. Zbl 0383.47012
Bart, H.; Gohberg, I.; Kaashoek, M. A. |
|
1978
|
The integral formula for the reduced algebraic multiplicity of meromorphic operator functions. Zbl 0376.47008
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1978
|
Local invertibility of meromorphic operator functions. Zbl 0384.47020
Bart, H.; Kaballo, W. |
|
1978
|
Relative inverses of meromorphic operator functions and associated projection functions. Zbl 0301.47029
Bart, Harm; Kaashoek, M. A.; Lay, D. C. |
|
1975
|
Holomorphic relative inverses of operator valued functions. Zbl 0265.47028
Bart, Harm |
|
1974
|
Stability properties of finite meromorphic operator functions. I. Zbl 0286.47008
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1974
|
Poles of a generalised resolvent operator. Zbl 0294.47002
Bart, Harm; Lay, David C. |
|
1974
|
Spectral properties of locally holomorphic vector-valued functions. Zbl 0287.46049
Bart, Harm |
|
1974
|
Poles of the resolvent of an operator function. Zbl 0272.47015
Bart, H. |
|
1974
|
Stability properties of finite meromorphic operator functions. III. Zbl 0286.47010
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1974
|
Stability properties of finite meromorphic operator functions. II. Zbl 0286.47009
Bart, H.; Kaashoek, M. A.; Lay, D. C. |
|
1974
|
Meromorphic operator valued functions. Zbl 0288.47022
Bart, H. |
|
1973
|