On self-adjoint operators connected by inequalities and on their applications to problems of mathematical physics-Reference-Cited by-同舟云学术

On self-adjoint operators connected by inequalities and on their applications to problems of mathematical physics

Published:1994-06 Issue:6 Volume:55 Page:549-554
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Azizov T. Ya.,Khatskevich V. L.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02110348.pdf

Reference9 articles.

1. T. Cateau,Perturbation Theory for Linear Operators [Russian translation], Mir, Moscow (1972).

2. Yu. L. Shmul'yan, “On the question of inequalities between Hermitian operators,”Mat. Zametki,49, No. 4, 138–141 (1991).

3. A. I. Perov,Variational Methods in the Theory of Linear Oscillations, Izdat. Voronezh Univ., Voronezh (1981).

4. T. Ya. Azizov and V. L. Khatskevich, “On some applications of the theory of operators in Krein spaces to the solubility of nonlinear Hamiltonian systems,”Mat. Zametki,50, No. 4, 1–9 (1991).

5. P. H. Rabinowitz, “Periodic solutions of nonlinear hyperbolic partial differential equations,”Com. Pure Appl. Math.,20, 145–205 (1967).

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Antitonicity of the inverse for selfadjoint matrices, operators, and relations;Proceedings of the American Mathematical Society;2014-05-08

2. Löwner inequality of indefinite type;Linear Algebra and its Applications;2004-07

3. On the defect of noncontractive operators in Kreĭn spaces: a new formula and some applications;Contributions to Operator Theory in Spaces with an Indefinite Metric;1998