Segal algebras, approximate identities and norm irregularity in C₀(X,A)

Jussi Mattas

Studia Mathematica (2013)

  • Volume: 215, Issue: 2, page 99-112
  • ISSN: 0039-3223

Abstract

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We study three closely related concepts in the context of the Banach algebra C₀(X,A). We show that, to a certain extent, Segal extensions, norm irregularity and the existence of approximate identities in C₀(X,A) can be deduced from the corresponding features of A and vice versa. Extensive use is made of the multiplier norm and the tensor product representation of C₀(X,A).

How to cite

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Jussi Mattas. "Segal algebras, approximate identities and norm irregularity in C₀(X,A)." Studia Mathematica 215.2 (2013): 99-112. <http://eudml.org/doc/285859>.

@article{JussiMattas2013,
abstract = {We study three closely related concepts in the context of the Banach algebra C₀(X,A). We show that, to a certain extent, Segal extensions, norm irregularity and the existence of approximate identities in C₀(X,A) can be deduced from the corresponding features of A and vice versa. Extensive use is made of the multiplier norm and the tensor product representation of C₀(X,A).},
author = {Jussi Mattas},
journal = {Studia Mathematica},
keywords = {Segal algebra; approximate identity; norm irregularity},
language = {eng},
number = {2},
pages = {99-112},
title = {Segal algebras, approximate identities and norm irregularity in C₀(X,A)},
url = {http://eudml.org/doc/285859},
volume = {215},
year = {2013},
}

TY - JOUR
AU - Jussi Mattas
TI - Segal algebras, approximate identities and norm irregularity in C₀(X,A)
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 2
SP - 99
EP - 112
AB - We study three closely related concepts in the context of the Banach algebra C₀(X,A). We show that, to a certain extent, Segal extensions, norm irregularity and the existence of approximate identities in C₀(X,A) can be deduced from the corresponding features of A and vice versa. Extensive use is made of the multiplier norm and the tensor product representation of C₀(X,A).
LA - eng
KW - Segal algebra; approximate identity; norm irregularity
UR - http://eudml.org/doc/285859
ER -

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