Open AccessA 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.