科研之友
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摘要
We show that if a Banach space X is %26quot;fairly close%26quot; to a Hilbert space, then the Banach algebra 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) is approximately amenable but not amenable. Thus we answer a question on existence of such spaces, open since 2000.
- 出版日期2014-9-1
