On Order Properties of Order Bounded Transformations

Author:

Aliprantis Charalambos D.

Abstract

W. A. J. Luxemburg and A. C. Zaanen in [7] and W. A. J. Luxemburg in [5] have studied the order properties of the order bounded linear functionals of a given Riesz space L. In this paper we consider the vector space (L, M) of the order bounded linear transformations from a given Riesz space L into a Dedekind complete Riesz space M.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 11 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. A note on the relationship between three classes of operators on Riesz spaces;Annals of West University of Timisoara - Mathematics and Computer Science;2019-12-01

2. Uncorporated Professionals;SSRN Electronic Journal;2004

3. Decomposition of the Space of Regular Operators;Results in Mathematics;1997-11

4. Order-bounded operators in vector lattices and in spaces of measurable functions;Journal of Soviet Mathematics;1991-05

5. Order-continuous component of a majorized operator;Siberian Mathematical Journal;1988

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