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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-2,
author = {Alistair Bird},
title = {An amalgamation of the Banach spaces associated with James and Schreier, Part II: Banach-algebra structure},
journal = {Banach Center Publications},
volume = {89},
year = {2010},
pages = {35-43},
zbl = {1211.46017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-2}
}
Alistair Bird. An amalgamation of the Banach spaces associated with James and Schreier, Part II: Banach-algebra structure. Banach Center Publications, Tome 89 (2010) pp. 35-43. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc91-0-2/