The theory of Besov functional calculus: Developments and applications to semigroups
| Autor: | Yuri Tomilov, Alexander Gomilko, Charles J. K. Batty |
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| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Semigroup 010102 general mathematics Structure (category theory) 01 natural sciences Linear subspace Functional Analysis (math.FA) Functional calculus Mathematics - Functional Analysis Operator (computer programming) Spectral mapping Mathematics - Classical Analysis and ODEs 0103 physical sciences Classical Analysis and ODEs (math.CA) FOS: Mathematics 010307 mathematical physics 0101 mathematics Algebra over a field Analysis Mathematics |
| Zdroj: | Journal of Functional Analysis. 281:109089 |
| ISSN: | 0022-1236 |
| DOI: | 10.1016/j.jfa.2021.109089 |
| Popis: | We extend and deepen the theory of functional calculus for semigroup generators, based on the algebra $\mathcal B$ of analytic Besov functions, which we initiated in a previous paper. In particular, we show that our construction of the calculus is optimal in several natural senses. Moreover, we clarify the structure of $\mathcal B$ and identify several important subspaces in practical terms. This leads to new spectral mapping theorems for operator semigroups and to wide generalisations of a number of basic results from semigroup theory. 51 pages. This is a version of the paper to appear in Journal of Functional Analysis |
| Databáze: | OpenAIRE |
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