On Krein's formula in indefinite metric spaces

DOI10.1016/j.laa.2004.04.002zbMath1096.47009OpenAlexW2073539110MaRDI QIDQ1887626

Sergey Belyi, Eduard Tsekanovskii

Publication date: 22 November 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.002

zbMATH Keywords

indefinite metricsPontryagin spaceKrein's formula

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Dilations, extensions, compressions of linear operators (47A20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains ⋮ On spectral theory for Schrödinger operators with strongly singular potentials ⋮ Distributional representations of Nκ(∞)‐functions

Cites Work

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• On Matrix-Valued Herglotz Functions
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• On Krein's formula in the case of non-densely defined symmetric operators

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