The Order Continuity of the Regular Norm on Regular Operator Spaces

Zi Li Chen, Ying Feng and Jin Xi Chen

Abstract and Applied Analysis, 2013, vol. 2013, 1-6

Abstract:

We present here some sufficient conditions for the regular norm on to be order continuous, and for ( ) to be a KB-space. In particular we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular operators. Also we characterize when the space is an -space and is lattice isomorphic to an -space for . Some related results are also obtained.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:183786

DOI: 10.1155/2013/183786

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