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Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces

  • Published:2016-07 Issue:2 Volume:439 Page:864-895
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Behrndt Jussi,Leben Leslie,Martínez Pería Francisco,Möws Roland,Trunk Carsten

Funder

Austrian Science Fund

Carl-Zeiss-Stiftung

CONICET

Deutscher Akademischer Austauschdienst/Bundesministerium für Bildung und Forschung

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference56 articles.

1. Solvable Models in Quantum Mechanics;Albeverio,2005

2. Rank one perturbations, approximations, and selfadjoint extensions;Albeverio;J. Funct. Anal.,1997

3. Singular Perturbations of Differential Operators;Albeverio,2000

4. On domains of powers of linear operators and finite rank perturbations;Azizov;Oper. Theory Adv. Appl.,2008

5. On finite rank perturbations of definitizable operators;Azizov;J. Math. Anal. Appl.,2008

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1. Direct and Inverse Spectral Problems for Rank-One Perturbations of Self-adjoint Operators;Integral Equations and Operator Theory;2021-04

2. Spectra of rank-one perturbations of self-adjoint operators;Linear Algebra and its Applications;2021-01

3. Spectra of $\mathcal{PT}$-symmetric operators under rank-one perturbations;Journal of Physics A: Mathematical and Theoretical;2020-08-25

4. Classical and quantum wave dynamics on time-dependent geometric graph;Chinese Journal of Physics;2018-04

5. Finite Rank Perturbations in Pontryagin Spaces and a Sturm–Liouville Problem with λ-rational Boundary Conditions;Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations;2018
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