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An explicit non-expansive function whose subdifferential is the entire dual ball

Borwein, Jonathan M. and Sciffer, Scott (2010) An explicit non-expansive function whose subdifferential is the entire dual ball. In: Technion Meeting on Nonlinear Analysis, AMS Proceedings in Contemporary Mathematics.

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    Abstract

    We provide an explicit recipe for constructing a function on an arbitrary real Banach space whose Clarke and approximate subdifferentials are identically equal to the dual unit ball.

    Item Type: Conference or Workshop Item (UNSPECIFIED)
    Additional Information: pubdom FALSE
    Uncontrolled Keywords: Banach space, Lipschitz function, non-expansive function, Clarke subdifferential, approximate subdifferential, Rademacher theorem.
    Subjects: 49-xx Calculus of variations and optimal control; optimization > 49Jxx Existence theories
    46-xx Functional analysis > 46Bxx Normed linear spaces and Banach spaces; Banach lattices
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 01 Jul 2008
    Last Modified: 23 Feb 2015 16:01
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/385

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