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Locally Lipschitz Functions and Bornological Derivatives

Borwein, Jonathan M. and Fabian, Marian and Vanderwerff, Jon D. (1993) Locally Lipschitz Functions and Bornological Derivatives. Working Paper. CECM .

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      Abstract

      We study the relationships between Gateaux, Weak Hadamard and Fr\'{e}chet differentiability and their bornologies for Lipschitz and for convex functions.

      Item Type: Monograph (Working Paper)
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: Gateaux differentiability, Frechet differentiability, weak Hadamard differentiability, convex functions, Lipschitz functions, bornologies, Dunford-Pettis property, Grothendieck property, Schur property, not containing l_1
      Subjects: 46-xx Functional analysis > 46Axx Topological linear spaces and related structures
      46-xx Functional analysis > 46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
      46-xx Functional analysis > 46Bxx Normed linear spaces and Banach spaces; Banach lattices
      58-xx Global analysis, analysis on manifolds > 58Cxx Calculus on manifolds; nonlinear operators
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 16 Nov 2003
      Last Modified: 07 Sep 2014 20:54
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/69

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