| On ϕ ⨂ψ -Strongly Connes Amenability for Certain Dual Banach Algebras |
| کد مقاله : 1002-SHAA |
| نویسندگان |
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ابراهیم تمیمی * گروه ریاضی- دانشکده علوم پایه و فنی مهندسی- دانشگاه ولایت- ایرانشهر- سیستان و بلوچستان-ایران |
| چکیده مقاله |
| In this paper, the notions of strongly Connes amenability for explicit products of Banach algebras and module extension of a Banach algebra is developed. Indeed, we characterize ϕ -strongly Connes amenability of projective tensor product Ab B via so-called ϕ -wc virtual diagonals and as a result ϕ -normal virtual diagonals, where ϕ 2 A and 2 B, are two-linear functionals on dual Banach algebras A and B, respectively. Also, we present necessary and sufficient conditions for the existence of (ϕ; )-wc virtual diagonals in -Lau product A B. Finally, we characterize (ϕ; 0)-wc virtual diagonal and (ϕ; 0)-strongly Connes amenability for the module extension of Banach algebra A X, where X is a normal Banach A-bimodule with predual X. |
| کلیدواژه ها |
| Dual Banach algebra, ϕ-Strongly Connes amenability, θ-Lau product, ϕ-ɕwc Virtual diagonal, Module extension of Banach algebra |
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