Sergey M. Zagorodnyuk
Published 2012-08-27Version 1
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.
Comments: Expository paper
On generalized resolvents and characteristic matrices of differential operators
On the generalized resolvents of isometric operators with gaps
On extensions of commuting tuples of symmetric and isometric operators
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