Lower estimates near the origin for functional calculus on operator semigroups
Functional Analysis
2015-04-10 v1 Complex Variables
Abstract
This paper provides sharp lower estimates near the origin for the functional calculus of a generator of an operator semigroup defined on the (strictly) positive real line; here is given as the Laplace transform of a measure or distribution. The results are linked to the existence of an identity element or an exhaustive sequence of idempotents in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
Cite
@article{arxiv.1504.02383,
title = {Lower estimates near the origin for functional calculus on operator semigroups},
author = {I. Chalendar and J. Esterle and J. R. Partington},
journal= {arXiv preprint arXiv:1504.02383},
year = {2015}
}
Comments
20 pages, 2 figures