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Preliminaries

  • Karl Frauendorfer
Chapter
  • 73 Downloads
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 392)

Abstract

In this part we state definitions (and notations) and conventions having been used throughout this work.

i) DEFINITIONS and NOTATIONS

We start with recalling known definitions and characterizations within linear topological vector spaces, (stochastic) (convex) analysis, measure and probability theory. For that which is outlined below, we mainly used Feller 1966 [44], Billingsley 1968 [9], Rockafellar 1970 [118] and 1976 [121], Halmos 1974 [55], Kelley and Namioka 1976 [80], Ekeland and Temam 1976 [39], Castaing and Valadier 1976 [20], Brøndsted 1983 [18], Prékopa 1980 [107], Rudin 1980 [131], Robinson 1987 [111], Wets 1989 [144] and Bauer 1990 [3].

Keywords

Proper Convex Function Affine Hull Infimal Convolution Borel Field Saddle Function 
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-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Karl Frauendorfer
    • 1
  1. 1.Institute for Operations ResearchUniversity of ZurichZurichSwitzerland

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