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Title: Continuity of the spectrum of norm-normal matrices (English)
Author: Zajac, Michal
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 28
Issue: 3
Year: 1978
Pages: 317-319
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Category: math
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MSC: 47A10
MSC: 47A12
idZBL: Zbl 0428.47001
idMR: MR535000
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Date available: 2009-09-25T08:57:20Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/129191
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Reference: [1] AUPETIT B.: Continuité et uniforme continuité du spectre dans les algèbres de Banach.Studia Math., 61, 1977, 99-114. Zbl 0372.46044, MR 0454634
Reference: [2] BONSALL F. F., DUNCAN J.: Numerical ranges of operators on normed spaces and of elements of normed algebras.London Mathematical Society Lecture Note Series 2, Cambridge University Press 1971. Zbl 0207.44802, MR 0288583
Reference: [3] BROWDER A.: On Berstein inequality and the norm of Hermitian operators.The Amer. Math. Monthly, 78, 1971, 871-873. MR 0291806
Reference: [4] CRABB M. J.: Some results on the numerical ranges of an operator.J. London Math. Soc, 2, 1970, 741-745. MR 0271759
Reference: [5] CRABB M. J., DUNCAN J., McGREGOR C. M.: Some extremal problems in the theory of numerical ranges.Acta Math., 128, 1972, 123-142. Zbl 0229.46049, MR 0473824
Reference: [6] DEUTSCH E., SCHNEIDER H.: Bounded groups and norm-Hermitian matrices.Linear Algebra and Appl., 9, 1974, 9-27. Zbl 0298.15017, MR 0382315
Reference: [7] PTÁK V., ZEMÁNEK J.: Continuite lipschitzienne du spectre comme fonction d'un opérateur normal.Comment. Math. Univ. Carolinae, 17, 1976, 507-512. Zbl 0341.47019, MR 0493433
Reference: [8] SINCLAIR A. M.: The norm of a Hermitian element in a Bonach algebra.Proc Amer. Math. Soc., 28., 28, 1971, 446-450. MR 0275164
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