Banach space properties forcing a reflexive, amenable Banach algebra to be trivial
نویسندگان
چکیده
منابع مشابه
2 Banach space properties forcing a reflexive , amenable Banach algebra to be trivial
It is an open problem whether an infinite-dimensional amenable Banach algebra exists whose underlying Banach space is reflexive. We give sufficient conditions for a reflexive, amenable Banach algebra to be finite-dimensional (and thus a finite direct sum of full matrix algebras). If A is a reflexive, amenable Banach algebra such that for each maximal left ideal L of A (i) the quotient A/L has t...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2001
ISSN: 0003-889X
DOI: 10.1007/pl00000490