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Equality of spectra of quasi-similar hyponormal operators. (English) Zbl 0317.47014


MSC:

47B20 Subnormal operators, hyponormal operators, etc.
47A10 Spectrum, resolvent
Full Text: DOI

References:

[1] T. Ando, Operators with a norm condition, Acta Sci. Math. (Szeged) 33 (1972), 169 – 178. · Zbl 0244.47021
[2] R. G. Douglas, On the operator equation \?*\?\?=\? and related topics, Acta Sci. Math. (Szeged) 30 (1969), 19 – 32. · Zbl 0177.19204
[3] Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. · Zbl 0144.38704
[4] T. B. Hoover, Quasi-similarity of operators, Illinois J. Math. 16 (1972), 678 – 686. · Zbl 0249.47014
[5] B. Sz.-Nagy and C. Foiaş, Analyse harmonique des opérateurs de l’espace de Hilbert, Masson, Paris; Akad. Kiadó, Budapest, 1967; English rev. transl., North-Holland, Amsterdam; American Elsevier, New York; Akad. Kiadó, Budapest, 1970. MR 37 #778; 43 #947. · Zbl 0202.13102
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