On approximations of rank one ℋ₋₂-perturbations-Reference-Cited by-同舟云学术

On approximations of rank one ℋ₋₂-perturbations

Published:2002-09-05 Issue:5 Volume:131 Page:1443-1452
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Albeverio S.,Koshmanenko V.,Kurasov P.,Nizhnik L.

Abstract

Approximations of rank one H − 2 {\mathcal H}_{-2} -perturbations of self-adjoint operators by operators with regular rank one perturbations are discussed. It is proven that in the case of arbitrary not semibounded operators such approximations in the norm resolvent sense can be constructed without any renormalization of the coupling constant. Approximations of semibounded operators are constructed using rank one non-symmetric regular perturbations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2003-131-05/S0002-9939-02-06694-7/S0002-9939-02-06694-7.pdf

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