An internal characterization of inessential operators-Reference-Cited by-同舟云学术

An internal characterization of inessential operators

Published:1988 Issue:3 Volume:102 Page:625-626
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aiena Pietro

Abstract

We characterize the ideal of inessential operators I ( E ) I(E) on a complex Banach space E E as the largest ideal of the class A ( E ) \mathcal {A}(E) of all bounded linear operators A A having the property that the restrictions A | M A\left | M \right . of A A on any closed infinite-dimensional invariant subspace M M may be.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-102-03/S0002-9939-1988-0928992-7/S0002-9939-1988-0928992-7.pdf

Reference5 articles.

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

2. A Wiley-Interscience Publication;Heuser, Harro G.,1982

3. Almost-finite, compact, and inessential operators;Kleinecke, David;Proc. Amer. Math. Soc.,1963

4. Inessential operators in Banach spaces;Pietsch, Albrecht;Integral Equations Operator Theory,1978

5. Riesz operators and Fredholm perturbations;Schechter, Martin;Bull. Amer. Math. Soc.,1968

Cited by 4 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. Relationships between inessential, strictly singular, strictly cosingular and improjective linear relations;Analysis Mathematica;2024-03

2. Riesz and aiena operators;Rendiconti del Circolo Matematico di Palermo;2000-05

3. On riesz and inessential operators;Mathematische Zeitschrift;1989-12

4. A characterization of riesz operators;Mathematische Zeitschrift;1987-12