High Order Singular Rank One Perturbations of a Positive Operator |
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| Authors: | A Dijksma P Kurasov Yu Shondin |
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| Institution: | (1) Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands;(2) Department of mathematics, Lund Institute of Technology, P.O. Box 118, 221 00 Lund, Sweden;(3) Department of Theoretical Physics, Pedagogical State University, Str. Uly’anova 1, GSP 37, Nizhny Novgorod, 603950, Russia |
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| Abstract: | In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression
are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space
with inner product 〈·,·〉, α is a real parameter, and φ in the rank one perturbation is a singular element belonging to
with n ≥ 3, where
is the scale of Hilbert spaces associated with L in
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| Keywords: | Primary: 47B25 47B50 Secondary: 81Q10 |
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