Convex maximization and Schachermayer property α

  • Authors:

  • V. V. Semenov

  • Affiliations:

  • Taras Shevchenko National University, Kiev, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2009

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Abstract

The problem of maximization of a convex functional on a closed ball in a nonreflexive Banach space is analyzed. A linear variational principle is proved for problems stated in a Banach space with the Schachermayer property α.