F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators

Details F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators

2000-05-12

arxiv.org/abs/math/0005130v2

Math. Log. Q. 50(1): 18-28 (2004)

Mathematics

Functional Analysis

13 pages

Scientific paper

10.1002/malq.200310071

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.

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