Analytic Besov functional calculus for several commuting operators
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866917622474342400 |
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| author | Batty, Charles Gomilko, Alexander Kobos, Dominik Tomilov, Yuri |
| author_facet | Batty, Charles Gomilko, Alexander Kobos, Dominik Tomilov, Yuri |
| contents | This paper investigates when analytic Besov functions of $n$ variables act on the generators of $n$ commuting $C_0$-semigroups on a Banach space. The theory for $n=1$ has already been published, and the present paper uses a different approach to that case as well as extending to the cases when $n\ge2$. It also clarifies some spectral mapping properties and provides some operator norm estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18757 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analytic Besov functional calculus for several commuting operators Batty, Charles Gomilko, Alexander Kobos, Dominik Tomilov, Yuri Functional Analysis 47A20 This paper investigates when analytic Besov functions of $n$ variables act on the generators of $n$ commuting $C_0$-semigroups on a Banach space. The theory for $n=1$ has already been published, and the present paper uses a different approach to that case as well as extending to the cases when $n\ge2$. It also clarifies some spectral mapping properties and provides some operator norm estimates. |
| title | Analytic Besov functional calculus for several commuting operators |
| topic | Functional Analysis 47A20 |
| url | https://arxiv.org/abs/2311.18757 |