Zero Jordan product determined Banach algebras. (English) Zbl 1490.46044
The paper is devoted to the study of zero Jordan products for Banach algebras. As an application, the authors show that the group algebras over an amenable locally compact group and also any \(C^{*}\) algebra possess this property.
Reviewer: Amir Sahami (Tehran)
MSC:
| 46H05 | General theory of topological algebras |
| 43A20 | \(L^1\)-algebras on groups, semigroups, etc. |
| 46L05 | General theory of \(C^*\)-algebras |
Keywords:
\(C^\ast \) -algebra; group algebra; zero Jordan product determined Banach algebra; zero product determined Banach algebra; symmetrically amenable Banach algebra; weakly amenable Banach algebraReferences:
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