Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅-Reference-Cited by-同舟云学术

Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅

Published:1998 Issue:4 Volume:126 Page:1055-1061
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barnes Bruce

Abstract

Let S S and R R be bounded linear operators defined on Banach spaces, S : X → Y S\colon X\to Y , R : Y → X R\colon Y\to X . When λ ≠ 0 \lambda \neq 0 , then the operators λ − S R \lambda -SR and λ − R S \lambda -RS have many basic operator properties in common. This situation is studied in this paper.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-04/S0002-9939-98-04218-X/S0002-9939-98-04218-X.pdf

Reference9 articles.

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3. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 80;Bonsall, Frank F.,1973

4. Lecture Notes in Pure and Applied Mathematics, Vol. 9;Caradus, S. R.,1974

5. [J] K. Jörgens, Linear Integral Operators, Pitman, Boston, 1982. MR83j:45001

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