Bootstrapping the Mazur--Orlicz--K\"onig theorem

TL;DR

This paper extends K"onig's version of the Mazur-Orlicz theorem, generalizing recent results and the Hahn-Banach-Lagrange theorem to multiple spaces, advancing the theoretical framework in functional analysis.

Contribution

It introduces new generalizations of K"onig's extension, including multi-space versions of the Hahn-Banach-Lagrange theorem, and builds upon recent related results.

Findings

Extended K"onig's extension of the Mazur-Orlicz theorem

Generalized the Hahn-Banach-Lagrange theorem to multiple spaces

Provided new theoretical insights in functional analysis

Abstract

In this paper, we give some extensions of K\"onig's extension of the Mazur-Orlicz theorem. These extensions include generalizations of a surprising recent result of Sun Chuanfeng, and generalizations to the product of more than two spaces of the "Hahn-Banach-Lagrange" theorem.