Invertible extensions of symmetric operators and the corresponding generalized resolvents

2013/06/27 by Sergey M‎. ‎Zagorodnyuk, Sergey M. Zagorodnyuk, Zagorodnyuk, Sergey M.
Computer Science · Mathematics · #47A20 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA #msc:47A20

paper · pdf · doi:10.48550/arxiv.1306.6678

13 pages

arxiv created 2013/06/27 · openalex publication_date 2013/06/27 · arxiv updated 2013/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study invertible extensions of a symmetric operator in a Hilbert space H. 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.

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