Invertible extensions of symmetric operators and the corresponding generalized resolvents
Functional Analysis
2013-07-01 v1
Abstract
In this paper we study invertible extensions of a symmetric operator in a Hilbert space . All such extensions are characterized by a parameter in the generalized Neumann's formulas. Generalized resolvents, which are generated by the invertible extensions, are extracted by a boundary condition among all generalized resolvents in the Shtraus formula.
Keywords
Cite
@article{arxiv.1306.6678,
title = {Invertible extensions of symmetric operators and the corresponding generalized resolvents},
author = {Sergey M. Zagorodnyuk},
journal= {arXiv preprint arXiv:1306.6678},
year = {2013}
}
Comments
13 pages