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Generators of semigroups on Banach spaces inducing holomorphic semiflows
- Source :
- Israel Journal of Mathematics. 229:165-179
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- Let $A$ be the generator of a $C_0$-semigroup $T$ on a Banach space of analytic functions on the open unit disc. If $T$ consists of composition operators, then there exists a holomorphic function $G:{\mathbb D}\to{\mathbb C}$ such that $Af=Gf'$ with maximal domain. The aim of the paper is the study of the reciprocal implication.<br />14 pages, Accepted, Israel Journal of Mathematics 2018
- Subjects :
- Mathematics::Functional Analysis
30D05, 47D03, 47B33
Pure mathematics
Open unit
Generator (category theory)
General Mathematics
010102 general mathematics
Holomorphic function
Banach space
0102 computer and information sciences
Composition (combinatorics)
01 natural sciences
Domain (mathematical analysis)
Functional Analysis (math.FA)
Mathematics - Functional Analysis
010201 computation theory & mathematics
FOS: Mathematics
0101 mathematics
Reciprocal
Mathematics
Analytic function
Subjects
Details
- ISSN :
- 15658511 and 00212172
- Volume :
- 229
- Database :
- OpenAIRE
- Journal :
- Israel Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....0e8d6b7dc1b80b69d3a5821f2aed4331