English

Generalized resolvents of symmetric and isometric operators: the Shtraus approach

Functional Analysis 2012-08-29 v1

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.

Keywords

Cite

@article{arxiv.1208.5530,
  title  = {Generalized resolvents of symmetric and isometric operators: the Shtraus approach},
  author = {Sergey M. Zagorodnyuk},
  journal= {arXiv preprint arXiv:1208.5530},
  year   = {2012}
}

Comments

Expository paper