Spectrum of the product of operators-Reference-Cited by-同舟云学术

Spectrum of the product of operators

Published:1988 Issue:2 Volume:102 Page:300-302
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hladnik Milan,Omladič Matjaž

Abstract

It is shown that the product of two operators on a Hilbert space has real spectrum if one of them is symmetric and the other is positive. Also, the product of two positive operators has positive spectrum.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-102-02/S0002-9939-1988-0920990-2/S0002-9939-1988-0920990-2.pdf

Reference4 articles.

1. Eigenvalues of the difference and product of projections;Anderson, William N., Jr.;Linear and Multilinear Algebra,1985

2. Estimation of the eigenvalues of 𝐴𝐵 for 𝐴>0,𝐵>0;Sha, Huyun;Linear Algebra Appl.,1986

3. Spectra of the difference and product of projections;Omladič, Matjaž;Proc. Amer. Math. Soc.,1987

Cited by 19 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. Fractional quantum Hall states with variational projected entangled-pair states: A study of the bosonic Harper-Hofstadter model;Physical Review B;2024-06-26

2. Double saddle‐point preconditioning for Krylov methods in the inexact sequential homotopy method;Numerical Linear Algebra with Applications;2024-04

3. A compact ADI finite difference method for 2D reaction–diffusion equations with variable diffusion coefficients;Journal of Computational and Applied Mathematics;2024-01

4. Volume integral equations for electromagnetic scattering by an orthotropic infinite cylinder;Journal of Mathematical Analysis and Applications;2024-01

5. Certain properties involving the unbounded operators p(T), TT⁎, and T⁎T; and some applications to powers and nth roots of unbounded operators;Journal of Mathematical Analysis and Applications;2023-09