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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 1622761
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Abstract: Perturbations $ A_T $ of a selfadjoint operator $ A$ by symmetric finite rank operators $ T $ from $ \mathcal{H}_2 (A) $ to $ \mathcal{H}_{-2} (A) $ are studied. The finite dimensional family of selfadjoint extensions determined by $ A_T $ 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: http://dx.doi.org/10.1090/S0002-9939-99-04992-8
PII: S 0002-9939(99)04992-8
Received by editor(s): August 1, 1997
Communicated by: David R. Larson
Article copyright: © Copyright 1999 American Mathematical Society