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

• Autorzy: Alistair Bird
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46J20: Ideals, maximal ideals, boundaries
• 46B45: Banach sequence spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 35-43

Daty

wydano

2010

Twórcy

autor

Alistair Bird

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

Identyfikatory

DOI

10.4064/bc91-0-2