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Title Johnson pseudo-contractibility of second duals of certain Banach algebras
Type JournalPaper
Keywords Semigroup algebras; matrix algebras; archimedean semigroup; locally finite inverse semigroup
Abstract In this paper, we study Johnson pseudo-contractibility of second dual of some Banach algebras. We show that the semigroup algebra 1(S)∗∗ is Johnson pseudo-contractible if and only if S is a finite amenable group, where S is an archimedean semigroup. We also show that the matrix algebra MI(C)∗∗ is Johnson pseudo-contractible if and only if It is finite. We study Johnson pseudo-contractibility of certain projective tensor product second duals Banach algebras.
Researchers Behrooz Olfatian Gillan (Fourth Researcher), Seyed Hamed Kazemi (Third Researcher), Eghbal Ghaderi (Second Researcher), Amir Sahami (First Researcher)