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 |
. |
Category:
|
math |
. |
MSC:
|
47A10 |
MSC:
|
47A12 |
idZBL:
|
Zbl 0428.47001 |
idMR:
|
MR535000 |
. |
Date available:
|
2009-09-25T08:57:20Z |
Last updated:
|
2012-07-31 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129191 |
. |
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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