Applications of the scarcity theorem in ordered Banach algebras

Sonja Mouton

Studia Mathematica (2014)

  • Volume: 225, Issue: 3, page 219-234
  • ISSN: 0039-3223

Abstract

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We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.

How to cite

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Sonja Mouton. "Applications of the scarcity theorem in ordered Banach algebras." Studia Mathematica 225.3 (2014): 219-234. <http://eudml.org/doc/285502>.

@article{SonjaMouton2014,
abstract = {We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.},
author = {Sonja Mouton},
journal = {Studia Mathematica},
keywords = {ordered Banach algebras; spectral theory; scarcity theorem},
language = {eng},
number = {3},
pages = {219-234},
title = {Applications of the scarcity theorem in ordered Banach algebras},
url = {http://eudml.org/doc/285502},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Sonja Mouton
TI - Applications of the scarcity theorem in ordered Banach algebras
JO - Studia Mathematica
PY - 2014
VL - 225
IS - 3
SP - 219
EP - 234
AB - We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.
LA - eng
KW - ordered Banach algebras; spectral theory; scarcity theorem
UR - http://eudml.org/doc/285502
ER -

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