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

References

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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.