$\mathcal{T}_{M}$-Amenability of Banach Algebras
We introduce the notions of $\mathcal{T}_{M}$-amenability and $\phi$-$\mathcal{T}_{M}$-amenability. Then, we characterize $\phi$-$\mathcal{T}_{M}$-amenability in terms of $WAP$-diagonals and $\phi$-invariant means. Some concrete cases are also discussed.
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_709618_01621d18ce90b34e9398b68212fe6f34.pdf |
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| _version_ | 1823859406125662208 |
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| author | Ali Ghaffari Samaneh Javadi |
| author_facet | Ali Ghaffari Samaneh Javadi |
| author_sort | Ali Ghaffari |
| collection | DOAJ |
| description | We introduce the notions of $\mathcal{T}_{M}$-amenability and $\phi$-$\mathcal{T}_{M}$-amenability. Then, we characterize $\phi$-$\mathcal{T}_{M}$-amenability in terms of $WAP$-diagonals and $\phi$-invariant means. Some concrete cases are also discussed. |
| format | Article |
| id | doaj-art-8061a23d0ff84a0cb47990dfa2ae4731 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-8061a23d0ff84a0cb47990dfa2ae47312025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121220721810.22130/scma.2023.1999457.1287709618$\mathcal{T}_{M}$-Amenability of Banach AlgebrasAli Ghaffari0Samaneh Javadi1Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran.Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran.We introduce the notions of $\mathcal{T}_{M}$-amenability and $\phi$-$\mathcal{T}_{M}$-amenability. Then, we characterize $\phi$-$\mathcal{T}_{M}$-amenability in terms of $WAP$-diagonals and $\phi$-invariant means. Some concrete cases are also discussed.https://scma.maragheh.ac.ir/article_709618_01621d18ce90b34e9398b68212fe6f34.pdfamenabilitybanach algebrasderivationgroup algebrainvariant mean |
| spellingShingle | Ali Ghaffari Samaneh Javadi $\mathcal{T}_{M}$-Amenability of Banach Algebras Sahand Communications in Mathematical Analysis amenability banach algebras derivation group algebra invariant mean |
| title | $\mathcal{T}_{M}$-Amenability of Banach Algebras |
| title_full | $\mathcal{T}_{M}$-Amenability of Banach Algebras |
| title_fullStr | $\mathcal{T}_{M}$-Amenability of Banach Algebras |
| title_full_unstemmed | $\mathcal{T}_{M}$-Amenability of Banach Algebras |
| title_short | $\mathcal{T}_{M}$-Amenability of Banach Algebras |
| title_sort | mathcal t m amenability of banach algebras |
| topic | amenability banach algebras derivation group algebra invariant mean |
| url | https://scma.maragheh.ac.ir/article_709618_01621d18ce90b34e9398b68212fe6f34.pdf |
| work_keys_str_mv | AT alighaffari mathcaltmamenabilityofbanachalgebras AT samanehjavadi mathcaltmamenabilityofbanachalgebras |