# On Positive Operators on Some Ordered Banach Spaces

On Positive Operators on Some Ordered Banach Spaces In this paper we study to what extent some classical results concerning operators T, from a $${\cal C}(K)$$ -space to a Banach space, or from a Banach space to a L 1-space, can be precised, when the Banach spaces involved are ordered (by a normal cone in the first case, by a closed generating proper convex cone in the second case) and when the operators T are positive. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# On Positive Operators on Some Ordered Banach Spaces

, Volume 9 (2) – Nov 19, 2003
9 pages

/lp/springer_journal/on-positive-operators-on-some-ordered-banach-spaces-OzSZhGC3ux
Publisher
Springer Journals
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-003-2785-6
Publisher site
See Article on Publisher Site

### Abstract

In this paper we study to what extent some classical results concerning operators T, from a $${\cal C}(K)$$ -space to a Banach space, or from a Banach space to a L 1-space, can be precised, when the Banach spaces involved are ordered (by a normal cone in the first case, by a closed generating proper convex cone in the second case) and when the operators T are positive.

### Journal

PositivitySpringer Journals

Published: Nov 19, 2003

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