Multipliers with closed range on commutative semisimple Banach algebras
Studia Mathematica (2002)
- Volume: 153, Issue: 1, page 59-80
- ISSN: 0039-3223
Access Full Article
top
Abstract
topHow to cite
topA. Ülger. "Multipliers with closed range on commutative semisimple Banach algebras." Studia Mathematica 153.1 (2002): 59-80. <http://eudml.org/doc/284417>.
@article{A2002,
abstract = {Let A be a commutative semisimple Banach algebra, Δ(A) its Gelfand spectrum, T a multiplier on A and T̂ its Gelfand transform. We study the following problems. (a) When is δ(T) = inf\{|T̂(f)|: f ∈ Δ(A), T̂(f) ≠ 0\} > 0? (b) When is the range T(A) of T closed in A and does it have a bounded approximate identity? (c) How to characterize the idempotent multipliers in terms of subsets of Δ(A)?},
author = {A. Ülger},
journal = {Studia Mathematica},
keywords = {multiplier; spectrum; Fourier algebra},
language = {eng},
number = {1},
pages = {59-80},
title = {Multipliers with closed range on commutative semisimple Banach algebras},
url = {http://eudml.org/doc/284417},
volume = {153},
year = {2002},
}
TY - JOUR
AU - A. Ülger
TI - Multipliers with closed range on commutative semisimple Banach algebras
JO - Studia Mathematica
PY - 2002
VL - 153
IS - 1
SP - 59
EP - 80
AB - Let A be a commutative semisimple Banach algebra, Δ(A) its Gelfand spectrum, T a multiplier on A and T̂ its Gelfand transform. We study the following problems. (a) When is δ(T) = inf{|T̂(f)|: f ∈ Δ(A), T̂(f) ≠ 0} > 0? (b) When is the range T(A) of T closed in A and does it have a bounded approximate identity? (c) How to characterize the idempotent multipliers in terms of subsets of Δ(A)?
LA - eng
KW - multiplier; spectrum; Fourier algebra
UR - http://eudml.org/doc/284417
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.