Invariant Krein subspaces, regular irreducibility and integral representations

Details Invariant Krein subspaces, regular irreducibility and integral representations Invariant Krein subspaces, regular irreducibility and integral representations

2008-03-27

arxiv.org/abs/0803.3961v1

Mathematics

Functional Analysis

27 pages

Scientific paper

We study unitary representations of groups in Krein spaces, irreducibility
criteria and integral decompositions. Our main tool is the theory of Krein
subspaces and their (reproducing) kernels and a variant of Choquet's theorem.

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