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

Ying Feng, Jin Xi Chen and Zi Li Chen

Abstract and Applied Analysis, 2012, vol. 2012, 1-7

Abstract:

We consider the -orthomorphisms and -linear operators on the order dual of an -algebra. In particular, when the -algebra has the factorization property (not necessarily unital), we prove that the orthomorphisms, -orthomorphisms, and -linear operators on the order dual are precisely the same class of operators.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:971560

DOI: 10.1155/2012/971560

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