ψ-amenability of some Banach-algebras

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ZIAMANESH MOHSEN; Shojaee Behrooz

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ISSN: 2588-4824

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Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2021 | Volume:6 | Issue:26 Page(s): 93-98

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Information Journal Paper

Title

ψ-amenability of some Banach-algebras

Author(s)

ZIAMANESH MOHSEN | Shojaee Behrooz | Issue Writer Certificate

Keywords

Derivation

amenability

𝜓-derivation

𝜓-inner

𝜓-amenability

Abstract

In this paper, we prove that a Banach-algebra A is 𝛙-amenable as Long as matrix Banach-algebra 𝐀 ⊗ 𝐌 𝒏 is 𝛙 ⊗ 𝐈-amenable which 𝛙 is a homomorphism form A into A. Morever, for Banach-algebras A and B, we show that 𝛙-amenability of A and 𝛗-amenability of B are equivalent with 𝛙 ⊗ 𝛗-menability of 𝛉-lau product 𝑨 ×𝜽 𝑩 in which 𝛗 is also a homomorphism on B and 𝛉 is a character on B.

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APA: Copy

ZIAMANESH, MOHSEN, & Shojaee, Behrooz. (2021). ψ-amenability of some Banach-algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(26 ), 93-98. SID. https://sid.ir/paper/952256/en

Vancouver: Copy

ZIAMANESH MOHSEN, Shojaee Behrooz. ψ-amenability of some Banach-algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;6(26 ):93-98. Available from: https://sid.ir/paper/952256/en

IEEE: Copy

MOHSEN ZIAMANESH, and Behrooz Shojaee, “ψ-amenability of some Banach-algebras,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 26 , pp. 93–98, 2021, [Online]. Available: https://sid.ir/paper/952256/en

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