Continuity of the spectrum of norm-normal matrices

Michal Zajac

Mathematica Slovaca (1978)

  • Volume: 28, Issue: 3, page 317-319
  • ISSN: 0232-0525

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Zajac, Michal. "Continuity of the spectrum of norm-normal matrices." Mathematica Slovaca 28.3 (1978): 317-319. <http://eudml.org/doc/31749>.

@article{Zajac1978,
author = {Zajac, Michal},
journal = {Mathematica Slovaca},
keywords = {norm-normal operator; continuity of the spectrum},
language = {eng},
number = {3},
pages = {317-319},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Continuity of the spectrum of norm-normal matrices},
url = {http://eudml.org/doc/31749},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Zajac, Michal
TI - Continuity of the spectrum of norm-normal matrices
JO - Mathematica Slovaca
PY - 1978
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 28
IS - 3
SP - 317
EP - 319
LA - eng
KW - norm-normal operator; continuity of the spectrum
UR - http://eudml.org/doc/31749
ER -

References

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  1. AUPETIT B., Continuité et uniforme continuité du spectre dans les algèbres de Banach, Studia Math., 61, 1977, 99-114. (1977) Zbl0372.46044MR0454634
  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. (1971) Zbl0207.44802MR0288583
  3. BROWDER A., On Berstein inequality and the norm of Hermitian operators, The Amer. Math. Monthly, 78, 1971, 871-873. (1971) MR0291806
  4. CRABB M. J., Some results on the numerical ranges of an operator, J. London Math. Soc, 2, 1970, 741-745. (1970) MR0271759
  5. CRABB M. J., DUNCAN J., McGREGOR C. M., Some extremal problems in the theory of numerical ranges, Acta Math., 128, 1972, 123-142. (1972) Zbl0229.46049MR0473824
  6. DEUTSCH E., SCHNEIDER H., Bounded groups and norm-Hermitian matrices, Linear Algebra and Appl., 9, 1974, 9-27. (1974) Zbl0298.15017MR0382315
  7. PTÁK V., ZEMÁNEK J., Continuite lipschitzienne du spectre comme fonction d'un opérateur normal, Comment. Math. Univ. Carolinae, 17, 1976, 507-512. (1976) Zbl0341.47019MR0493433
  8. SINCLAIR A. M., The norm of a Hermitian element in a Bonach algebra, Proc Amer. Math. Soc., 28., 28, 1971, 446-450. (1971) MR0275164

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