Title of article
Weak and (-1)-weak amenability of second dual of Banach algebras
Author/Authors
Hosseinioun, S.A.R University of Arkansas - Department of Mathematical sciences - Fayetteville, USA , Valadkhani, A. University of Simon Fraser - Department of Education - Vancouver, Canada
Pages
10
From page
39
To page
48
Abstract
For a Banach algebra A, Ȁ is (-1)-weakly amenable if A0 is a Banach A00-bimodule and H1(Ȁ;Ȁ) =
f0g. In this paper we prove some important properties of this notion, for instance if Ȁ is (-1)-
weakly amenable then A is essential and there is no non-zero point derivation on A. We also give
some examples, namely, the second dual of every C*-algebras is (-1)-weakly amenable. Finally, we
study the relationships between the (-1)-weakly amenability of A00 and the weak amenability of Ȁ
or A.
Keywords
Banach algebra , Point derivation , (-1)-Weak amenability
Journal title
Astroparticle Physics
Serial Year
2016
Record number
2441207
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