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On Order Properties of Order Bounded Transformations

Published online by Cambridge University Press:  20 November 2018

Charalambos D. Aliprantis
Charalambos D. Aliprantis*
Affiliation:
STD Research Corporation, A rcadia, California; Indiana University—Purdue University at Indianapolis, Indianapolis, Indiana
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 3 , 01 June 1975 , pp. 666 - 678
Copyright
Copyright © Canadian Mathematical Society 1975

References

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