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, issue 1

Abstract: We present here some sufficient conditions for the regular norm on ℒr(E, F) to be order continuous, and for (ℒr(E, F), ∥·∥r) 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 ℒr(E, F) is an Lp‐space and is lattice isomorphic to an Lp‐space for 1

Date: 2013
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https://doi.org/10.1155/2013/183786

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:183786

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