The a priori tan Θ theorem for spectral subspaces-Reference-Cited by-同舟云学术

The a priori tan Θ theorem for spectral subspaces

Published:2012-06-20 Issue:3 Volume:73 Page:413-430
ISSN:0378-620X
Container-title:Integral Equations and Operator Theory
language:en
Short-container-title:Integr. Equ. Oper. Theory

Author:

Albeverio Sergio,Motovilov Alexander K.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00020-012-1976-6.pdf

Reference16 articles.

1. Albeverio, S., Makarov, K.A., Motovilov, A.K.: Graph subspaces and the spectral shift function. Can. J. Math. 55, 449–503 (2003). arXiv: math.SP/ 0105142 v3

2. Albeverio, S., Motovilov, A.K.: Sharpening the norm bound in the subspace perturbation theory. Complex Anal. Oper. Theory (to appear). arXiv: 1112.0149

3. Albeverio, S., Motovilov, A.K., Selin, A.V.: The a priori tan θ theorem for eigenvectors. SIAM J. Matrix Anal. Appl. 29, 685–697 (2007). arXiv: math.SP/0512545

4. Birman M.S., Solomjak M.Z.: Spectral Theory of Self-Adjoint Operators in Hilbert Space. D. Reidel Publishing, Dordrecht (1987)

5. Davis C., Kahan W.M.: The rotation of eigenvectors by a perturbation. III. SIAM J. Numer. Anal. 7, 1–46 (1970)

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