An amalgamation of the Banach spaces associated with James and Schreier, Part II: Banach-algebra structure

Alistair Bird. "An amalgamation of the Banach spaces associated with James and Schreier, Part II: Banach-algebra structure." Banach Center Publications 91.1 (2010): 35-43. <http://eudml.org/doc/282462>.

@article{AlistairBird2010,
abstract = {The James-Schreier spaces, defined by amalgamating James' quasi-reflexive Banach spaces and Schreier space, can be equipped with a Banach-algebra structure. We answer some questions relating to their cohomology and ideal structure, and investigate the relations between them. In particular we show that the James-Schreier algebras are weakly amenable but not amenable, and relate these algebras to their multiplier algebras and biduals.},
author = {Alistair Bird},
journal = {Banach Center Publications},
keywords = {James Schreier spaces; Banach algebra; cohomology; ideal structure; weakly amenable},
language = {eng},
number = {1},
pages = {35-43},
title = {An amalgamation of the Banach spaces associated with James and Schreier, Part II: Banach-algebra structure},
url = {http://eudml.org/doc/282462},
volume = {91},
year = {2010},
}

TY - JOUR
AU - Alistair Bird
TI - An amalgamation of the Banach spaces associated with James and Schreier, Part II: Banach-algebra structure
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 35
EP - 43
AB - The James-Schreier spaces, defined by amalgamating James' quasi-reflexive Banach spaces and Schreier space, can be equipped with a Banach-algebra structure. We answer some questions relating to their cohomology and ideal structure, and investigate the relations between them. In particular we show that the James-Schreier algebras are weakly amenable but not amenable, and relate these algebras to their multiplier algebras and biduals.
LA - eng
KW - James Schreier spaces; Banach algebra; cohomology; ideal structure; weakly amenable
UR - http://eudml.org/doc/282462
ER -