On linear operators on ordered banach spaces-Reference-Cited by-同舟云学术

On linear operators on ordered banach spaces

Published:1983-04 Issue:2 Volume:27 Page:285-305
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Yamamuro Sadayuki

Abstract

The order structure of the space of all continuous linear operators on an ordered Banach space is studied. The main topic is the Robinson property, that is, the norm of a positive linear operator is attained on the positive unit cone.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. [5] Robinson Derek W. , “On positive semigroups” (Mathematics Research Report, 18. Australian National University, Canberra, 1982).

2. Sur la décomposition des fonctionelles en composantes positives;Grosberg;C.R. (Dokl.) Acad. Sci.,1939

3. [4] Robinson Derek W. , “Continuous semigroups on ordered Banach spaces” (Mathematics Research Report, 17. Australian National University, Canberra, 1982).

4. Hereditary cones, order ideals and half-norms;Robinson;Pacific J. Math.

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