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arXiv · 1608.02047

Infinitesimal generators of invertible evolution families

Yoritaka Iwata
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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.

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Yoritaka Iwata. 2016-08-06. Infinitesimal generators of invertible evolution families. https://arxiv.org/abs/1608.02047

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