On the topological boundary of the one-sided spectrum

Vladimír Müller

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 3, page 561-568
  • ISSN: 0011-4642

Abstract

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It is well-known that the topological boundary of the spectrum of an operator is contained in the approximate point spectrum. We show that the one-sided version of this result is not true. This gives also a negative answer to a problem of Schmoeger.

How to cite

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Müller, Vladimír. "On the topological boundary of the one-sided spectrum." Czechoslovak Mathematical Journal 49.3 (1999): 561-568. <http://eudml.org/doc/30506>.

@article{Müller1999,
abstract = {It is well-known that the topological boundary of the spectrum of an operator is contained in the approximate point spectrum. We show that the one-sided version of this result is not true. This gives also a negative answer to a problem of Schmoeger.},
author = {Müller, Vladimír},
journal = {Czechoslovak Mathematical Journal},
keywords = {one-sided spectrum; semiregular operators},
language = {eng},
number = {3},
pages = {561-568},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the topological boundary of the one-sided spectrum},
url = {http://eudml.org/doc/30506},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Müller, Vladimír
TI - On the topological boundary of the one-sided spectrum
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 3
SP - 561
EP - 568
AB - It is well-known that the topological boundary of the spectrum of an operator is contained in the approximate point spectrum. We show that the one-sided version of this result is not true. This gives also a negative answer to a problem of Schmoeger.
LA - eng
KW - one-sided spectrum; semiregular operators
UR - http://eudml.org/doc/30506
ER -

References

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  9. 10.24033/bsmf.1612, Bull. Soc. Math. France 92 (1964), 363–384. (1964) MR0187095DOI10.24033/bsmf.1612
  10. 10.4064/sm-113-2-169-175, Studia Math. 113 (1995), 169–175. (1995) MR1318422DOI10.4064/sm-113-2-169-175
  11. Banach-Mazur distances and finite-dimensional operator ideals, Pitman Monographs and Surveys in Pure and Applied Mathematics 38, Longman Scientific & Technical, Harlow, 1989. (1989) Zbl0721.46004MR0993774

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