Finite rank perturbations and distribution theory

Albeverio, S.; Kurasov, P.

doi:10.1090/S0002-9939-99-04992-8

Finite rank perturbations
and distribution theory

Authors: S. Albeverio and P. Kurasov
Journal: Proc. Amer. Math. Soc. 127 (1999), 1151-1161
MSC (1991): Primary 34L40, 46F10, 47A55, 81Q15
DOI: https://doi.org/10.1090/S0002-9939-99-04992-8
MathSciNet review: 1622761
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Abstract | References | Similar Articles | Additional Information

Abstract: Perturbations of a selfadjoint operator by symmetric finite rank operators from $\mathcal{H}_2 (A)$ to $\mathcal{H}_{-2} (A)$ are studied. The finite dimensional family of selfadjoint extensions determined by is given explicitly.

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Additional Information

S. Albeverio
Affiliation: Department of Mathematics, Ruhr-University Bochum, 44780 Bochum, Germany; SFB 237 Essen-Bochum-Düsseldorf, Germany; BiBoS Research Center, D 33615 Bielefeld, Germany; CERFIM, Locarno, Switzerland
Address at time of publication: Institute of Applied Mathematics, University of Bonn, Bonn, Germany
Email: albeverio@uni-bonn.de

P. Kurasov
Affiliation: Department of Mathematics, Stockholm University, 10691 Stockholm, Sweden; Alexander von Humboldt fellow, Department of Mathematics, Ruhr-University Bochum, 44780 Bochum, Germany; Department of Mathematical and Computational Physics, St.Petersburg University, 198904 St.Petersburg, Russia; Department of Mathematics, Luleå University, 97187 Luleå, Sweden

DOI: https://doi.org/10.1090/S0002-9939-99-04992-8
Received by editor(s): August 1, 1997
Communicated by: David R. Larson
Article copyright: © Copyright 1999 American Mathematical Society