Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590395 | Journal of Functional Analysis | 2014 | 26 Pages |
Abstract
We show that if a Banach space X is “fairly close” to a Hilbert space, then the Banach algebra K(X)K(X) of all compact operators on X is approximately amenable. We use this to give examples of Banach spaces X for which K(X)K(X) is approximately amenable but not amenable. Thus we answer a question on existence of such spaces, open since 2000.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
F. Ghahramani, C.J. Read,