Approximate identities in Banach function algebras

H. G. Dales, and A. Ülger. "Approximate identities in Banach function algebras." Studia Mathematica 226.2 (2015): 155-187. <http://eudml.org/doc/285471>.

@article{H2015,
abstract = {In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras. We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras. We shall describe a contractive Banach function algebra which is not equivalent to a uniform algebra. We shall also obtain results about Banach sequence algebras and Banach function algebras that are ideals in their second duals.},
author = {H. G. Dales, A. Ülger},
journal = {Studia Mathematica},
keywords = {Banach function algebra; approximate identity; uniform algebra; Banach sequence algebra; Fourier algebra},
language = {eng},
number = {2},
pages = {155-187},
title = {Approximate identities in Banach function algebras},
url = {http://eudml.org/doc/285471},
volume = {226},
year = {2015},
}

TY - JOUR
AU - H. G. Dales
AU - A. Ülger
TI - Approximate identities in Banach function algebras
JO - Studia Mathematica
PY - 2015
VL - 226
IS - 2
SP - 155
EP - 187
AB - In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras. We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras. We shall describe a contractive Banach function algebra which is not equivalent to a uniform algebra. We shall also obtain results about Banach sequence algebras and Banach function algebras that are ideals in their second duals.
LA - eng
KW - Banach function algebra; approximate identity; uniform algebra; Banach sequence algebra; Fourier algebra
UR - http://eudml.org/doc/285471
ER -