F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators
arXiv:math/0005130 · doi:10.1002/malq.200310071
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.
13 pages