F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators
Functional Analysis
2007-05-23 v2 Logic
Abstract
We give an overview of the F-product construction and the corresponding nonstandard constructions for strongly continuous one-parameter semigroups of linear operators, and show that (in the case of bounded ultrapowers) both constructs are isomorphic. From this we also deduce a "classical" corollary about the nonexistace of certain semigroups.
Keywords
Cite
@article{arxiv.math/0005130,
title = {F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators},
author = {Jakob Kellner and Hans Ploss},
journal= {arXiv preprint arXiv:math/0005130},
year = {2007}
}
Comments
13 pages