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Well-posedness and weak well-posedness in Banach spaces

  • Diethard Pallaschke
  • Stefan Rolewicz
Part of the Mathematics and Its Applications book series (MAIA, volume 388)

Abstract

Let (X, ‖ · ‖) be a Banach space. Let Φ be the class of all continuous linear (affine) functionals. A function f is Φ-convex if and only if it is convex and lower semi-continuous.

Keywords

Banach Space Accumulation Point Reflexive Banach Space Empty Interior Arbitrary Positive Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Diethard Pallaschke
    • 1
  • Stefan Rolewicz
    • 2
  1. 1.Institute for Statistics and Mathematical EconomicsUniversity of KarlsruheKarlsruheGermany
  2. 2.Institute of Mathematics of the Polish Academy of SciencesWarsawPoland

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