Approximate identity and approximation properties of multidimensional Fourier algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866929665173618688 |
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| author | Kanupriya Kumar, N. Shravan |
| author_facet | Kanupriya Kumar, N. Shravan |
| contents | For a locally compact group $G$, let $A^n(G)$ denote the multidimensional Fourier algebra given by $ \otimes_{n}^{eh} A(G).$ This work explores the approximation identity and operator amenability of the algebra $A^n(G)$. Further, we study the approximation properties (AP) and the concept of weak amenability of the multidimensional Fourier algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04351 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximate identity and approximation properties of multidimensional Fourier algebras Kanupriya Kumar, N. Shravan Functional Analysis For a locally compact group $G$, let $A^n(G)$ denote the multidimensional Fourier algebra given by $ \otimes_{n}^{eh} A(G).$ This work explores the approximation identity and operator amenability of the algebra $A^n(G)$. Further, we study the approximation properties (AP) and the concept of weak amenability of the multidimensional Fourier algebra. |
| title | Approximate identity and approximation properties of multidimensional Fourier algebras |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2501.04351 |