Separation Theorems in Hilbert Spaces as Bases of Convex Programming

EasyChair Preprint 7884

Abstract

Separation theorems are the bases of convex programming. They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces in broad sense. Then normed spaces and finally Hilbert spaces. It ends with the consideration of these results in convex programming, an important quantitative tool in operations research, finance, management and economics.

Keyphrases: Hahn-Banach theorem, Kuhn-Tucker Theorem, Separation Theorems, convex programming

@booklet{EasyChair:7884,
  author    = {Manuel Alberto M. Ferreira},
  title     = {Separation Theorems in Hilbert Spaces as Bases of Convex Programming},
  howpublished = {EasyChair Preprint 7884},
  year      = {EasyChair, 2022}}