f‐Orthomorphisms and f‐Linear Operators on the Order Dual of an f‐Algebra

Ying Feng, Jin Xi Chen and Zi Li Chen

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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

Date: 2012
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https://doi.org/10.1155/2012/971560

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:971560

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