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

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  • Ying Feng
  • Jin Xi Chen
  • Zi Li Chen

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.

Suggested Citation

  • Ying Feng & Jin Xi Chen & Zi Li Chen, 2012. "-Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, November.
    • Handle: RePEc:hin:jnlaaa:971560
    DOI: 10.1155/2012/971560
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