-Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited

We give a necessary and sufficient condition on an -algebra for which orthomorphisms, -linear operators, and -orthomorphisms on the order dual are the same class of operators.

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Bibliographic Details
Main Author: Jamel Jaber
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/896302
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Description
Summary:We give a necessary and sufficient condition on an -algebra for which orthomorphisms, -linear operators, and -orthomorphisms on the order dual are the same class of operators.
ISSN:1085-3375
1687-0409