Some conditions on an operator implying normality. II
Author:
S. K. Berberian
Journal:
Proc. Amer. Math. Soc. 26 (1970), 277-281
MSC:
Primary 47.40
DOI:
https://doi.org/10.1090/S0002-9939-1970-0265975-3
MathSciNet review:
0265975
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Abstract | References | Similar Articles | Additional Information
Abstract: Conditions are given under which an operator with countable spectrum is normal, and applications are made to polynomially compact operators.
- S. K. Berberian, Some conditions on an operator implying normality, Math. Ann. 184 (1969/70), 188–192. MR 256205, DOI https://doi.org/10.1007/BF01351562
- S. K. Berberian, An extension of Weyl’s theorem to a class of not necessarily normal operators, Michigan Math. J. 16 (1969), 273–279. MR 250094 ---, The Weyl spectrum of an operator, J. Math. Mech. (to appear).
- Frank Gilfeather, The structure and asymptotic behavior of polynomially compact operators, Proc. Amer. Math. Soc. 25 (1970), 127–134. MR 257791, DOI https://doi.org/10.1090/S0002-9939-1970-0257791-3
- Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
- Felix Hausdorff, Set theory, Chelsea Publishing Company, New York, 1957. Translated by John R. Aumann, et al. MR 0086020
- C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Z. 116 (1970), 323–330. MR 270193, DOI https://doi.org/10.1007/BF01111839
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Additional Information
Keywords:
Hilbert space,
normal operator,
Weyl spectrum
Article copyright:
© Copyright 1970
American Mathematical Society