ψ -amenability of some Banach-algebras
Subject Areas : StatisticsMohsen Ziamanesh 1 , Behrouz shojaee 2
1 - Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran,
2 - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran,
Keywords: ψ-اشتقاق, ψ-میانگین پذیری, ψ-درونی, میانگین پذیری, اشتقاق,
Abstract :
In this paper, we prove that a Banach-algebra A is 𝛙-amenableas Long as matrix Banach-algebra 𝐀 ⊗ 𝐌𝒏 is 𝛙 ⊗ 𝐈-amenable which 𝛙 is ahomomorphism form A into A. Morever, for Banach-algebras A and B, weshow that 𝛙-amenability of A and 𝛗-amenability of B are equivalent with𝛙 ⊗ 𝛗-menability of 𝛉-lau product 𝑨 ×𝜽 𝑩 in which 𝛗 is also ahomomorphism on B and 𝛉 is a character on B.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - -
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