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In this paper, the commutative module amenable Banach algebras are characterized. The hereditary and permanence properties of module amenability and the relations between module amenability of a Banach algebra and its ideals are explored. Analogous to the classical case of amenability, it is shown that the projective tensor product and direct sum of module amenable Banach algebras are again module amenable. By an application of Ryll-Nardzewski fixed point theorem, it is shown that for an inverse semigroup $S$, every module derivation of $l^1(S)$ into a reflexive module is inner.
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참고문헌 신청
M. Amini / 2004 / Module amenability for semigroup algebras / Semigroup Forum 69(2):243~254
M. Amini / 2005 / Weak module amenability for semigroup algebras / Semigroup Forum 71(1):18~26
M. Amini / 2010 / Module amenability of the second dual and module topological center of semigroup algebras / Semigroup Forum 80(2):302~312
Gholamreza Asgari / 2019 / Module amenability and module Arens regularity of weighted semigroup algebras / 대한수학회논문집 34(3):743~755
A. Bodaghi / 2010 / Module (φ, ψ)-amenability of Banach algebras / Arch. Math. (Brno) 46(4):227~235
M. Amini / 2005 / Weak module amenability for semigroup algebras / Semigroup Forum 71(1):18~26
M. Amini / 2010 / Module amenability of the second dual and module topological center of semigroup algebras / Semigroup Forum 80(2):302~312
Gholamreza Asgari / 2019 / Module amenability and module Arens regularity of weighted semigroup algebras / 대한수학회논문집 34(3):743~755
A. Bodaghi / 2010 / Module (φ, ψ)-amenability of Banach algebras / Arch. Math. (Brno) 46(4):227~235
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