Found 676 Documents (Results 1–100)
Boundary triples and Weyl functions for Dirac operators with singular interactions. (English) Zbl 1536.81052
On self-adjoint operators generated by the fourth-order Laguerre type differential expression. (English) Zbl 1540.33020
Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators. (English) Zbl 07835936
On a comparison between absolute and relative self-adjoint extension schemes. (English) Zbl 07827873
On self-adjoint extensions of symmetric operator with exit to larger space. (English) Zbl 1538.34078
Some results concerning the linear relations which are adjoint to each other. (English) Zbl 1535.39011
Reviewer: Hark-Mahn Kim (Daejeon)
Operators without eigenvalues in finite-dimensional vector spaces: essential uniqueness of the model. (English) Zbl 1543.47029
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators. (English) Zbl 1530.47028
General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation. (English) Zbl 1528.81132
Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and nth roots of unbounded operators. (English) Zbl 1517.47036
Harmonic analysis associated with the Jacobi-Dunkl operator on \((-\pi, \pi)\): exotic cases. (English) Zbl 1512.42043
Complex symmetric generalized weighted composition operators on Hilbert spaces of analytic functions. (English) Zbl 1522.47049
Hahn-Hamiltonian systems. (English) Zbl 1523.39003
Reviewer: Hakan Adıgüzel (Serdivan)
Complex-self-adjointness. (English) Zbl 07640518
Reviewer: Miyeon Kwon (Platteville)
Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators”. (English) Zbl 1509.47007
Functions of pairs of unbounded noncommuting self-adjoint operators under perturbation. (English. Russian original) Zbl 1522.47046
Dokl. Math. 106, No. 3, 407-411 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 5-9 (2022).
Complex symmetric weighted composition-differentiation operators of order \(n\) on the weighted Bergman spaces. (English) Zbl 07663813
\(J\)-selfadjointness of a class of high-order differential operators with transmission conditions. (English) Zbl 07662757
Front. Math. China 17, No. 6, 1025-1035 (2022); translation from Adv. Math., Beijing 51, No. 1, 93-102 (2022).
Complex structures for Klein-Gordon theory on globally hyperbolic spacetimes. (English) Zbl 1510.83034
Self-adjoint extensions for a \(p^4\)-corrected Hamiltonian of a particle on a finite interval. (English) Zbl 1502.81048
On unitary equivalence to a self-adjoint or doubly-positive Hankel operator. (English) Zbl 1517.47051
Discrete symplectic systems, boundary triplets, and self-adjoint extensions. (English) Zbl 07556135
Reviewer: Anatoly N. Kochubei (Kyjiw)
Schrödinger operator with Morse potential and zeros of the Riemann zeta function. (English. Russian original) Zbl 1509.34094
Math. Notes 111, No. 2, 312-315 (2022); translation from Mat. Zametki 111, No. 2, 304-307 (2022).
Reviewer: Hubert Kalf (München)
Congruence of selfadjoint operators and transformations of operator-valued Nevanlinna functions. (English) Zbl 1506.47033
de Snoo, H. S. V. (ed.) et al., Contributions to mathematics and statistics. Essays in honor of Seppo Hassi. Vaasa: University of Vaasa, School of Technology and Innovation. Acta Wasaensia 462, 1-14 (2021).
Reviewer: Yuri I. Karlovich (Cuernavaca)
Construction of solutions of the classical field equation of a massless Klein-Gordon field interacting with a static source. (English) Zbl 1487.81094
Perspectives on general left-definite theory. (English) Zbl 1496.47040
Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 69-89 (2021).
Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities. (English) Zbl 1480.81044
Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 41-63 (2021).
Essentially self-adjoint linear relations in Hilbert spaces. (English) Zbl 1495.47008
Reviewer: Valerii V. Obukhovskij (Voronezh)
A model of a boundary composed of the Helmholtz resonators. (English) Zbl 07409848
Reviewer: Andreas Boukas (Roma)
Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory. (English) Zbl 1483.34037
Reviewer: Jonathan Rohleder (Stockholm)
Krylov solvability of unbounded inverse linear problems. (English) Zbl 1473.41009
Reviewer: Andrei Sipoş (Bucureşti)
Dilations, models and spectral problems of non-self-adjoint Sturm-Liouville operators. (English) Zbl 1483.47043
Spectral properties of ordinary differential operators admitting special decompositions. (English) Zbl 1489.47069
Reviewer: A. S. Makin (Moskva)
Non-self-adjoint Schrödinger operator with a periodic potential. (English) Zbl 1487.47001
Cham: Springer (ISBN 978-3-030-72682-9/hbk; 978-3-030-72685-0/pbk; 978-3-030-72683-6/ebook). x, 294 p. (2021).
Point-like perturbation of Rashba Hamiltonian. (English) Zbl 1482.47039
Reviewer: Mohammed El Aïdi (Bogotá)
Coupling constant dependence for the Schrödinger equation with an inverse-square potential. (English) Zbl 1454.34116
Nontrivial linear projections on the Grassmannian \(\text{Gr}_3(\mathbb{C}^6)\). (English) Zbl 1455.14097
Normality and self-adjointness of weighted composition-differentiation operators. (English) Zbl 07300024
The self-adjointness of the product of two differential operators on metric graph. (Chinese. English summary) Zbl 1484.47040
Sampling theory associated with \(q\)-Sturm-Liouville operator with discontinuity conditions. (English) Zbl 1461.34098
On extensions of symmetric operators. (English) Zbl 1496.47041
Reviewer: Anatoly N. Kochubei (Kyïv)
MSC:
47B25
Self-adjoint extensions of a symmetric linear relation with finite defect: compressions and Straus subspaces. (English) Zbl 1520.47005
Alpay, Daniel (ed.) et al., Complex function theory, operator theory, Schur analysis and systems theory. A volume in honor of V. E. Katsnelson. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 280, 287-325 (2020).
Reviewer: Valerii V. Obukhovskij (Voronezh)
An operational construction of the sum of two non-commuting observables in quantum theory and related constructions. (English) Zbl 1456.81010
Operators on anti-dual pairs: self-adjoint extensions and the strong Parrott theorem. (English) Zbl 07303613
Unified canonical forms of fourth order self-adjoint differential operators with transmission conditions. (Chinese. English summary) Zbl 1474.47086
Time operators for quantum walks. (English) Zbl 1451.81228
Reviewer: Michael Perelmuter (Kyïv)
Spectral analysis of the sixth-order Krall differential expression. (English) Zbl 1481.47036
Reviewer: Bilender P. Allahverdiev (Isparta)
Range-kernel characterizations of operators which are adjoint of each other. (English) Zbl 1501.47032
Reviewer: Maryam Amyari (Mashhad)
W. Stenger’s and M. A. Nudelman’s results and resolvent formulas involving compressions. (English) Zbl 1481.47035
Reviewer: Bilender P. Allahverdiev (Isparta)
Generalization of Lax equivalence theorem on unbounded self-adjoint operators with applications to Schrödinger operators. (English) Zbl 1498.47060
Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator. (English) Zbl 1493.34080
Reviewer: Sven-Ake Wegner (Hamburg)
Properties and decompositions of domains for powers of the Jacobi differential operator. (English) Zbl 1506.47035
On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\). (English) Zbl 1505.47021
Reviewer: Panagiotis Koumantos (Athína)
Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices. (English) Zbl 1443.47037
Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of \(\mathbb{R}^d\). (English) Zbl 1448.35148
Reviewer: Dumitru Motreanu (Perpignan)
A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator. (English) Zbl 1436.81042
On the invertibility of the sum of operators. (English) Zbl 1449.47003
Reviewer: José Bonet (Valencia)
Boundary value problems, Weyl functions, and differential operators. (English) Zbl 1457.47001
Monographs in Mathematics 108. Cham: Birkhäuser (ISBN 978-3-030-36713-8/hbk; 978-3-030-36716-9/pbk; 978-3-030-36714-5/ebook). vii, 772 p., open access (2020).
Reviewer: Andreas Fleige (Dortmund)
On spectral stability problem for a pair of self-adjoint elliptic differential operators on bounded open sets. (English) Zbl 1463.35388
Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators. (English. Russian original) Zbl 1436.46012
Funct. Anal. Appl. 53, No. 3, 192-204 (2019); translation from Funkts. Anal. Prilozh. 53, No. 3, 45-60 (2019).
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
Maximality of linear operators. (English) Zbl 07138895
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