On joint spectral radii in locally convex algebras

Andrzej Sołtysiak

Studia Mathematica (2006)

  • Volume: 175, Issue: 1, page 73-82
  • ISSN: 0039-3223

Abstract

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We present several notions of joint spectral radius of mutually commuting elements of a locally convex algebra and prove that all of them yield the same value in case the algebra is pseudo-complete. This generalizes a result proved by the author in 1993 for elements of a Banach algebra.

How to cite

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Andrzej Sołtysiak. "On joint spectral radii in locally convex algebras." Studia Mathematica 175.1 (2006): 73-82. <http://eudml.org/doc/285130>.

@article{AndrzejSołtysiak2006,
abstract = {We present several notions of joint spectral radius of mutually commuting elements of a locally convex algebra and prove that all of them yield the same value in case the algebra is pseudo-complete. This generalizes a result proved by the author in 1993 for elements of a Banach algebra.},
author = {Andrzej Sołtysiak},
journal = {Studia Mathematica},
keywords = {locally convex algebra; joint spectral radius; bounded element; pseudo-completeness},
language = {eng},
number = {1},
pages = {73-82},
title = {On joint spectral radii in locally convex algebras},
url = {http://eudml.org/doc/285130},
volume = {175},
year = {2006},
}

TY - JOUR
AU - Andrzej Sołtysiak
TI - On joint spectral radii in locally convex algebras
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 1
SP - 73
EP - 82
AB - We present several notions of joint spectral radius of mutually commuting elements of a locally convex algebra and prove that all of them yield the same value in case the algebra is pseudo-complete. This generalizes a result proved by the author in 1993 for elements of a Banach algebra.
LA - eng
KW - locally convex algebra; joint spectral radius; bounded element; pseudo-completeness
UR - http://eudml.org/doc/285130
ER -

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