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

Alistair Bird (2010)

Banach Center Publications

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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.