Abstract

Continuing papers of J. M. Borwein, S. Fitzpatrick, J. Vanderwerff, G. Pritchard, G. Gurkan and A. Y. Ozge we give equivalent formulations of finite dimensional Banach spaces in terms of Lipschitzian functions

Author information

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

Keywords

  • Performance function
  • multipliers
  • stability
  • convex like functions
  • measurable integrands
  • richness
  • integral functional
  • growth conditions

References

  1. J. M. Borwein, S. Fitzpatrick, J. Vanderwerff: Examples of convex functions and classifications of normed spaces, Journal of Convex Analysis 1 (1994) 61–73.https://doi.org/10.68381/jca01004Google Scholar
  2. J. M. Borwein: A survey of examples of convex functions and the classification of Banach spaces, in: Recent Developments in Optimization: VII Colloque Franco-Allemand d’Optimisation, Lecture Notes Economic and Mathematical Systems, R. Durier and C. Michelot (eds.), Springer-Verlag (1995) 260–271.https://doi.org/10.1007/978-3-642-46823-0_5Google Scholar
  3. J. Diestel: Sequences and Series in Banach Spaces, Graduate Texts in Mathematics (1984).https://doi.org/10.1007/978-1-4612-5200-9Google Scholar
  4. G. Pritchard, G. Gurkan, A. Y. Ozge: A note on locally Lipschitzian functions, Math. Programming 71, series A (1995) 369–370.https://doi.org/10.1007/BF01590961Google Scholar
  5. S. Simons: Minimax and Monotonicity, Lecture Notes Math. Vol. 1963, Springer-Verlag (1998).https://doi.org/10.1007/BFb0093633Google Scholar

Suggested citation

D. Popa. “Lipschitzian Characterizations of Finite Dimensional Banach Spaces.” Journal of Convex Analysis 9 (2002), No. 1, 287–290. https://doi.org/10.68381/jca09015

Download BibTeXPublished by Heldermann Verlag.

Published by Heldermann Verlag, 2002. Rights now held by Banach Press.