A generalization on character Connes-amenability | Zendy

Behrouz Shojaee | Zendy

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A generalization on character Connes-amenability

Author(s) -

Behrouz Shojaee

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1913059s

Subject(s) - mathematics , homomorphism , character (mathematics) , dual (grammatical number) , generalization , pure mathematics , banach algebra , algebra over a field , banach space , mathematical analysis , linguistics , philosophy , geometry

In the current paper, we introduce the concepts of left ?-approximate Connes-amenability and left character approximate Connes-amenability of a dual Banach algebra A that ? is a ?*-continuous homomorphism fromAto C. We also characterize left ?-approximate Connes-amenability ofAin terms of certain derivations and study some hereditary properties for such Banach algebras. Some examples show that these new notions are different from approximate Connes-amenability and left character Connesamenability for dual Banach algebras.

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