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The Hahn–Banach Theorems. Introduction to the Theory of Conjugate Convex Functions

  • Haim Brezis
Chapter
Part of the Universitext book series (UTX)

Abstract

Let E be a vector space over \(\mathbb{R}.\) We recall that a functional is a function defined on E, or on some subspace of E, with values in\(\mathbb{R}.\) The main result of this section concerns the extension of a linear functional defined on a linear subspace of E by a linear functional defined on all of E.

Keywords

Banach Space Convex Function Linear Subspace Bounded Linear Operator Linear Functional 
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, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsRutgers UniversityPiscatawayUSA

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