F‐products and nonstandard hulls for semigroups
Copyright policy )F‐products and nonstandard hulls for semigroups
AbstractDerndinger [2] and Krupa [5] defined the F‐product of a (strongly continuous one‐parameter) semigroup (of linear operators) and presented some applications (e. g. to spectral theory of positive operators, cf. [3]). Wolff (in [7] and [8]) investigated some kind of nonstandard analogon and applied it to spectral theory of group representations. The question arises in which way these constructions are related. In this paper we show that the classical and the nonstandard F‐product are isomorphic (Theorem 2.6). We also prove a little “classical” corollary (2.7.). (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- University of Vienna Austria
Nonstandard functional analysis, Groups and semigroups of linear operators, Ultraproduct techniques in Banach space theory, Nonstandard operator theory, nonstandard functional analysis, \(F\)-product, one-parameter semigroup of linear operators
Nonstandard functional analysis, Groups and semigroups of linear operators, Ultraproduct techniques in Banach space theory, Nonstandard operator theory, nonstandard functional analysis, \(F\)-product, one-parameter semigroup of linear operators
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