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arXiv · 1306.6678

Invertible extensions of symmetric operators and the corresponding generalized resolvents

Sergey M. Zagorodnyuk
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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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Sergey M. Zagorodnyuk. 2013-06-27. Invertible extensions of symmetric operators and the corresponding generalized resolvents. https://arxiv.org/abs/1306.6678

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