Character amenability and character pseudo-amenability of certain Banach algebras
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MACO-2-1_010
تاریخ نمایه سازی: 21 تیر 1400
Abstract:
In this paper, we study character amenability of semigroup algebras `ell^{۱}(S)` and weighted semigroup algebras ell^{۱} (S,omega), for a certain semigroups such as right(left) zero semigroup, rectangular band semigroup, band semigroup and uniformly locally finite inverse semigroup. In particular, we show that for a right (left) zero semigroup or a rectangular band semigroup, character amenability, amenability, pseudo - amenability of ell^{۱} (S,omega), for each weight omega , are equivalent. We also show that for an archimedean semigroup S , character pseudo - amenability, amenability, approximate amenability and pseudo-amenable of ell^{۱}(S) are equivalent.
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Authors
kobra oustad
Dehdasht of mathematics, Dehdasht Branch, Islamic Azad University, Dehdasht, Iran