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Separable determination of integrability and minimality of the Clarke subdifferential mapping

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posted on 2025-05-08, 14:21 authored by Jonathan M. Borwein, Warren B. Moors
In this paper we show that the study of integrability and D- representability of Lipschitz functions defined on arbitrary Banach spaces reduces to the study of these properties on separable Banach spaces.

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  1. 1.
    DOI - Is published in https://doi.org/10.1090/S0002-9939-99-05001-7
  2. 2.
    ISSN - Is version of https://portal.issn.org/resource/ISSN/0002-9939

Journal title

Proceedings of the American Mathematical Society

Volume

128

Issue

1

Pagination

215-221

Publisher

American Mathematical Society (AMS)

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Information and Physical Sciences

Rights statement

First published in Proceedings of the American Mathematical Society in Vol.128, No. 1, pp. 215-221, 2000, published by the American Mathematical Society.

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    Keywords

    separable reductionintegrabilityD-representabilityminimal cusco.

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