Generalization of the topological algebra ( C b ( X ) , β )

Jorma Arhippainen; Jukka Kauppi

Studia Mathematica (2009)

  • Volume: 191, Issue: 3, page 247-262
  • ISSN: 0039-3223

Abstract

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We study subalgebras of C b ( X ) equipped with topologies that generalize both the uniform and the strict topology. In particular, we study the Stone-Weierstrass property and describe the ideal structure of these algebras.

How to cite

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Jorma Arhippainen, and Jukka Kauppi. "Generalization of the topological algebra $(C_{b}(X),β)$." Studia Mathematica 191.3 (2009): 247-262. <http://eudml.org/doc/284744>.

@article{JormaArhippainen2009,
abstract = {We study subalgebras of $C_\{b\}(X)$ equipped with topologies that generalize both the uniform and the strict topology. In particular, we study the Stone-Weierstrass property and describe the ideal structure of these algebras.},
author = {Jorma Arhippainen, Jukka Kauppi},
journal = {Studia Mathematica},
keywords = {topological algebras; Stone-Weierstrass property; closed ideals; strict topology},
language = {eng},
number = {3},
pages = {247-262},
title = {Generalization of the topological algebra $(C_\{b\}(X),β)$},
url = {http://eudml.org/doc/284744},
volume = {191},
year = {2009},
}

TY - JOUR
AU - Jorma Arhippainen
AU - Jukka Kauppi
TI - Generalization of the topological algebra $(C_{b}(X),β)$
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 3
SP - 247
EP - 262
AB - We study subalgebras of $C_{b}(X)$ equipped with topologies that generalize both the uniform and the strict topology. In particular, we study the Stone-Weierstrass property and describe the ideal structure of these algebras.
LA - eng
KW - topological algebras; Stone-Weierstrass property; closed ideals; strict topology
UR - http://eudml.org/doc/284744
ER -

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