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Stability of closedness of convex cones under linear mappings II

Borwein, Jonathan M. and Moors, Warren B. Stability of closedness of convex cones under linear mappings II. Unpublished . (Unpublished)

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    Abstract

    In this paper we revisit the question of when the continuous linear image of a �fixed closed convex cone K is closed. Speci�cally, we improve the main result of [3] by showing that for all, except for at most a �sigma-porous set, of the linear mappings T from R^n into R^m, not only is T(K) closed, but there is also a neighbourhood around T whose members also preserve the closedness of K.

    Item Type: Article
    Subjects: 46-xx Functional analysis
    Faculty: UNSPECIFIED
    Depositing User: eduardo castillo
    Date Deposited: 13 Dec 2010 11:53
    Last Modified: 13 Dec 2010 11:53
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/768

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