Infinitesimal generators of invertible evolution families
Functional Analysis
2018-05-03 v4
Abstract
A logarithm representation of operators is introduced as well as a concept of pre-infinitesimal generator. Generators of invertible evolution families are represented by the logarithm representation, and a set of operators represented by the logarithm is shown to be associated with analytic semigroups. Consequently generally-unbounded infinitesimal generators of invertible evolution families are characterized by a convergent power series representation.
Keywords
Cite
@article{arxiv.1608.02047,
title = {Infinitesimal generators of invertible evolution families},
author = {Yoritaka Iwata},
journal= {arXiv preprint arXiv:1608.02047},
year = {2018}
}
Comments
Methods Funct. Anal. Topology, accepted; ver.4 (v4) is the accepted version