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

Volume 91 / 2010

Alistair Bird Banach Center Publications 91 (2010), 35-43 MSC: Primary 46J20; Secondary 46B45, 46J35. DOI: 10.4064/bc91-0-2


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.


  • Alistair BirdDepartment of Mathematics and Statistics
    Lancaster University
    Lancaster, LA1 4YF, United Kingdom

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