Beurling algebras and uniform norms

S. J. Bhatt, and H. V. Dedania. "Beurling algebras and uniform norms." Studia Mathematica 160.2 (2004): 179-183. <http://eudml.org/doc/285328>.

@article{S2004,
abstract = {Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling algebra L¹(G,ω) admits either exactly one uniform norm or infinitely many uniform norms, and that L¹(G,ω) admits exactly one uniform norm iff it admits a minimum uniform norm.},
author = {S. J. Bhatt, H. V. Dedania},
journal = {Studia Mathematica},
keywords = {commutative semisimple Banach algebra; -bounded generalized character; Beurling algebra},
language = {eng},
number = {2},
pages = {179-183},
title = {Beurling algebras and uniform norms},
url = {http://eudml.org/doc/285328},
volume = {160},
year = {2004},
}

TY - JOUR
AU - S. J. Bhatt
AU - H. V. Dedania
TI - Beurling algebras and uniform norms
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 2
SP - 179
EP - 183
AB - Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling algebra L¹(G,ω) admits either exactly one uniform norm or infinitely many uniform norms, and that L¹(G,ω) admits exactly one uniform norm iff it admits a minimum uniform norm.
LA - eng
KW - commutative semisimple Banach algebra; -bounded generalized character; Beurling algebra
UR - http://eudml.org/doc/285328
ER -