Bulletin of the Belgian Mathematical Society - Simon Stevin

Weak amenability of Banach algebras with respect to characters

Rasoul Nasr-Isfahani, Somayeh Shahmoradi, and Sima Soltani Renani

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Abstract

For a Banach algebra ${\cal A}$, we introduce and investigate weak amenability of ${\cal A}$ with respect to a character. We give some necessary conditions for the weak amenability of $\cal A$ with respect to a character and describe a class of Banach algebras that are not weakly amenable with respect to characters. Finally, we give examples of Banach algebras which are weakly amenable with respect to characters but neither weakly amenable nor amenable with respect to characters.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 23, Number 4 (2016), 545-558.

Dates
First available in Project Euclid: 6 December 2016

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1480993586

Digital Object Identifier
doi:10.36045/bbms/1480993586

Mathematical Reviews number (MathSciNet)
MR3579667

Zentralblatt MATH identifier
1364.46045

Subjects
Primary: 46H05: General theory of topological algebras 46H25: Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 47B47: Commutators, derivations, elementary operators, etc.
Secondary: 43A10: Measure algebras on groups, semigroups, etc.

Keywords
Banach algebra Banach module character derivation dual space weakly amenable

Citation

Nasr-Isfahani, Rasoul; Shahmoradi, Somayeh; Soltani Renani, Sima. Weak amenability of Banach algebras with respect to characters. Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 4, 545--558. doi:10.36045/bbms/1480993586. https://projecteuclid.org/euclid.bbms/1480993586


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