Unitary and Selfadjoint Operators in Krein Spaces
The study of linear operators in Krein spaces begins with this chapter. Main topics include criteria for the continuity of isometric operators (Section 3) as well as basic properties and the location of spectra of unitary and selfadjoint operators (Sections 4–7). In Section 8 it is proved that every continuous linear operator of a Hilbert space has a unitary dilation in a Krein space. Theorems 3.5, 3.10, 5.1, 5.5, 6.1, 7.5, 8.6 and Lemma 4.7 can be mentioned as representative results.
KeywordsCorn Assure Resid Proal
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