Fourier theoretic inequalities for inclusion of simple C*-algebras
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917205812183040 |
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| author | Bakshi, Keshab Chandra Guin, Satyajit Sruthymurali |
| author_facet | Bakshi, Keshab Chandra Guin, Satyajit Sruthymurali |
| contents | This paper originates from a naive attempt to establish various non-commutative Fourier theoretic inequalities for an inclusion of simple C*-algebras equipped with a conditional expectation of index-finite type. In this setting, we discuss the Hausdorff-Young inequality and Young's inequality. As a consequence, we prove the Hirschman-Beckner uncertainty principle and Donoho-Stark uncertainty principle. Our results generalize some of the results of Jiang, Liu and Wu [Noncommutative uncertainty principle, J. Funct. Anal., 270(1): 264--311, 2016]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_09006 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fourier theoretic inequalities for inclusion of simple C*-algebras Bakshi, Keshab Chandra Guin, Satyajit Sruthymurali Operator Algebras Information Theory Functional Analysis This paper originates from a naive attempt to establish various non-commutative Fourier theoretic inequalities for an inclusion of simple C*-algebras equipped with a conditional expectation of index-finite type. In this setting, we discuss the Hausdorff-Young inequality and Young's inequality. As a consequence, we prove the Hirschman-Beckner uncertainty principle and Donoho-Stark uncertainty principle. Our results generalize some of the results of Jiang, Liu and Wu [Noncommutative uncertainty principle, J. Funct. Anal., 270(1): 264--311, 2016]. |
| title | Fourier theoretic inequalities for inclusion of simple C*-algebras |
| topic | Operator Algebras Information Theory Functional Analysis |
| url | https://arxiv.org/abs/2210.09006 |