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

Jakob Kellner·Hans Ploss
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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.

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Jakob Kellner, Hans Ploss. 2004-03-16. F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators. https://doi.org/10.1002/malq.200310071

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