Author
Batty, C
Gomilko, A
Tomilov, Y
Journal title
Journal of Functional Analysis
DOI
10.1016/j.jfa.2021.109089
Issue
6
Volume
281
Last updated
2023-12-20T16:12:40.24+00:00
Abstract
We extend and deepen the theory of functional calculus for semigroup generators, based on the algebra <em>B</em> 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 <em>B</em> 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.
Symplectic ID
1172593
Favourite
On
Publication type
Journal Article
Publication date
04 May 2021
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