Proceedings of the American Mathematical Society

Author(s): S. Albeverio; V. Koshmanenko; P. Kurasov; L. Nizhnik
Journal: Proc. Amer. Math. Soc. 131 (2003), 1443-1452.
MSC (2000): Primary 47A55, 47B25; Secondary 81Q15
Posted: September 5, 2002
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Abstract: Approximations of rank one ${\mathcal H}_{-2}$ -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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47A55, 47B25, 81Q15

S. Albeverio
Affiliation: Institute für Angewandte Mathematik, Univ. Bonn, Wegelerstr. 6, 53155 Bonn, Germany; SFB 256 Bonn, BiBoS, Bielefeld-Bonn, CERFIM, Locarno and USI (Switzerland)
Email: albeverio@uni-bonn.de

V. Koshmanenko
Affiliation: Institute of Mathematics, vul. Tereschenkivs'ka, 3, Kyiv, 01601 Ukraine
Email: kosh@imath.kiev.ua

P. Kurasov
Affiliation: Department of Mathematics, Stockholm University, 106 91 Stockholm, Sweden
Address at time of publication: Department of Mathematics, Lund Institute of Technology, Box 118, 221~00 Lund, Sweden
Email: pak@matematik.su.se, kurasov@maths.lth.se

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