Abstract
This article is about a new version of the Hahn–Banach theorem, which we will call the “Hahn–Banach–Lagrange theorem”, since it deals very effectively with certain problems of Lagrange type, as well as giving numerous results in functional analysis, convex analysis, and monotone operator theory. We will discuss several of these results in this article. †Dedicated to Diethard Pallaschke, on the occasion of his 65th birthday.
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