Document Zbl 0431.47010

Hadwin, D. W.; Nordgren, E. A.; Radjavi, Heydar; Rosenthal, Peter

Most similarity orbits are strongly dense. (English) Zbl 0431.47010

Proc. Am. Math. Soc. 76, 250-252 (1979).

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MSC:

47A65	Structure theory of linear operators
47C05	Linear operators in algebras

Keywords:

similarity orbit

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References:

[1]	P. Enflo, On the invariant subspace problem in Banach spaces, Séminaire Maurey – Schwartz (1975 – 1976) Espaces \?^{\?}, applications radonifiantes et géométrie des espaces de Banach, Exp. Nos. 14-15, Centre Math., École Polytech., Palaiseau, 1976, pp. 7. · Zbl 0341.46016
[2]	Donald W. Hadwin, An operator-valued spectrum, Indiana Univ. Math. J. 26 (1977), no. 2, 329 – 340. · Zbl 0368.47003 · doi:10.1512/iumj.1977.26.26025
[3]	-, Approximate equivalence and completely positive maps, preprint, 1978.
[4]	D. W. Hadwin, E. Nordgren, Heydar Radjavi and Peter Rosenthal, An operator not satisfying Lomonosov’s hypothesis, preprint, 1978. · Zbl 0451.47003
[5]	P. R. Halmos, Irreducible operators, Michigan Math. J. 15 (1968), 215 – 223. · Zbl 0157.44902
[6]	Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. · Zbl 0144.38704
[7]	Domingo A. Herrero, Closure of similarity orbits of Hilbert space operators. I, Rev. Un. Mat. Argentina 27 (1976), no. 4, 244 – 260 (Spanish). Domingo A. Herrero, Closure of similarity orbits of Hilbert space operators. II. Normal operators, J. London Math. Soc. (2) 13 (1976), no. 2, 299 – 316. , https://doi.org/10.1112/jlms/s2-13.2.299 Domingo A. Herrero, Closure of similarity orbits of Hilbert space operators. III, Math. Ann. 232 (1978), no. 3, 195 – 204. , https://doi.org/10.1007/BF01351426 José Barría and Domingo A. Herrero, Closure of similarity orbits of Hilbert space operators. IV. Normal operators, J. London Math. Soc. (2) 17 (1978), no. 3, 525 – 536. · Zbl 0387.47020 · doi:10.1112/jlms/s2-17.3.525
[8]	-, Closure of similarity orbits of Hilbert space operators. V. Essentially BQT operators (preprint).
[9]	Dan Voiculescu, A non-commutative Weyl-von Neumann theorem, Rev. Roumaine Math. Pures Appl. 21 (1976), no. 1, 97 – 113. · Zbl 0335.46039

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