Generalized resolvents of symmetric and isometric operators: the Shtraus approach

2012/08/27 by Sergey M. Zagorodnyuk, Zagorodnyuk, Sergey M. · 1 citation
Mathematics · #47-02 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47-02

paper · pdf · doi:10.48550/arxiv.1208.5530

Expository paper

arxiv created 2012/08/27 · arxiv updated 2012/08/29

Abstract

This exposition paper is devoted to the theory of Abram Vilgelmovich Shtraus and his disciples and followers. This theory studies the so-called generalized resolvents of symmetric and isometric operators in a Hilbert space and provides alternative formulas to the well-known Krein-type formulas. We think that it would be convenient to have an exposition of the corresponding theory with full proofs and necessary corrections.

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