Character amenability of real Banach algebras

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Alihoseini Hamidreza; Alimohammadi Davood

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2020 | Volume:11 | Issue:2 Page(s): 255-284

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Title

Character amenability of real Banach algebras

Author(s)

Alihoseini Hamidreza | Alimohammadi Davood | Issue Writer Certificate

Keywords

Banach algebra

Character amenable

Complexication

Banach left module

injectivity

Abstract

Let (A; ∥ ∥ ) be a real Banach algebra. In this paper we rst introduce left and right φ-amenability of A and discuss the relation between left (right, respectively) φ-amenability and φ-amenability of A for φ 2 △ (A) [ f0g where φ 2 △ (A) is the conjugate of φ . Next we show that A is left (right, respectively) φ-amenable if and only if AC is left (right, respectively) φ C-amenable, where AC is a suitable complexi cation of A and φ C 2 △ (AC) is the induced character by φ on AC. In continue, we give a hereditary property for 0-amenability of A. We also study relations between the injectivity of Banach left A-modules and right φ-amenability of A. Finally, we characterize the left character amenability of certain real Banach algebras.

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APA: Copy

Alihoseini, Hamidreza, & Alimohammadi, Davood. (2020). Character amenability of real Banach algebras. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 11(2), 255-284. SID. https://sid.ir/paper/340881/en

Vancouver: Copy

Alihoseini Hamidreza, Alimohammadi Davood. Character amenability of real Banach algebras. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2020;11(2):255-284. Available from: https://sid.ir/paper/340881/en

IEEE: Copy

Hamidreza Alihoseini, and Davood Alimohammadi, “Character amenability of real Banach algebras,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 11, no. 2, pp. 255–284, 2020, [Online]. Available: https://sid.ir/paper/340881/en

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