Generalization of the weak amenability on various Banach algebras
The generalized notion of weak amenability, namely $(\varphi,\psi)$-weak amenability, where $\varphi,\psi$ are continuous homomorphisms on a Banach algebra ${\mathcal A}$, was introduced by Bodaghi, Eshaghi Gordji and Medghalchi (2009). In this paper, the $(\varphi,\psi)$-weak amenability on the mea...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2019-04-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/144/1/mb144_1_1.pdf |
| Summary: | The generalized notion of weak amenability, namely $(\varphi,\psi)$-weak amenability, where $\varphi,\psi$ are continuous homomorphisms on a Banach algebra ${\mathcal A}$, was introduced by Bodaghi, Eshaghi Gordji and Medghalchi (2009). In this paper, the $(\varphi,\psi)$-weak amenability on the measure algebra $M(G)$, the group algebra $L^1(G)$ and the Segal algebra $S^1(G)$, where $G$ is a locally compact group, are studied. As a typical example, the $(\varphi,\psi)$-weak amenability of a special semigroup algebra is shown as well. |
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| ISSN: | 0862-7959 2464-7136 |