Abstract

Within a nonzero, real Banach space we study the problem of characterising a maximal extension of a monotone operator in terms of minimality properties of representative functions that are bounded by the Penot and Fitzpatrick functions. We single out a property of this space of representative functions that enable a very compact treatment of maximality and pre-maximality issues.

Author information

Contact details are reproduced from the original publication and may be historical.

Robert Wenczel

Mathematics Department, RMIT – GPO Box 2476V, Melbourne, Vict. 3001, Australia

e01928@ems.rmit.edu.au

Keywords

  • Sum theorems
  • maximal extensions
  • monotone operators
  • representative functions

Mathematics Subject Classification

47H05, 46N10, 47H04, 49J53

Suggested citation

A. Eberhard, R. Wenczel. “On the Maximal Extensions of Monotone Operators and Criteria for Maximality.” Journal of Convex Analysis 24 (2017), No. 1, 19–40. https://doi.org/10.68381/jca24002

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.