Homomorphism weak amenability of certain Banach algebras

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LASHKARIZADEH BAMI MAHMOOD; SADEGHI HAMID

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2018 | Volume:9 | Issue:1 Page(s): 235-245

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Title

Homomorphism weak amenability of certain Banach algebras

Author(s)

LASHKARIZADEH BAMI MAHMOOD | SADEGHI HAMID | Issue Writer Certificate

Keywords

Banach algebra;varphi

commutative;varphi

derivation;varphi

weakly amenability

Abstract

In this paper we introduce the notion of φ-commutativity for a Banach algebra A, where φ is a continuous homomorphism on A and study the concept of φ-weak amenability for φ-commutative Banach algebras. We give an example to show that the class of φ-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We characterize φ-weak amenability of φ-commutative Banach algebras and prove some hereditary properties. Moreover we verify some of the previous available results about commutative weakly amenable Banach algebras, for φ-commutative φ-weakly amenable Banach algebras.

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APA: Copy

LASHKARIZADEH BAMI, MAHMOOD, & SADEGHI, HAMID. (2018). Homomorphism weak amenability of certain Banach algebras. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 9(1), 235-245. SID. https://sid.ir/paper/340808/en

Vancouver: Copy

LASHKARIZADEH BAMI MAHMOOD, SADEGHI HAMID. Homomorphism weak amenability of certain Banach algebras. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2018;9(1):235-245. Available from: https://sid.ir/paper/340808/en

IEEE: Copy

MAHMOOD LASHKARIZADEH BAMI, and HAMID SADEGHI, “Homomorphism weak amenability of certain Banach algebras,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 9, no. 1, pp. 235–245, 2018, [Online]. Available: https://sid.ir/paper/340808/en

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