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The range of the gradient of a Lipschitz C^1-smooth bump in infinite dimensions

Borwein, Jonathan M. and Fabian, Marian and Loewen, Philip D. (2002) The range of the gradient of a Lipschitz C^1-smooth bump in infinite dimensions. Israel Journal of Mathematics, 132 (1). pp. 239-251.

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      Abstract

      If a Banach space has a Lipschitz $\Ci$-smooth bump function, then it admits another bump of the same quality whose gradients exactly fill the dual unit ball or other reasonably looking figures. This strengthens a result of Azagra and Deville who were able to cover the dual unit ball.

      Item Type: Article
      Additional Information: pubdom FALSE
      Subjects: 32-xx Several complex variables and analytic spaces
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 24 Nov 2003
      Last Modified: 28 Sep 2014 14:46
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/144

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