It is difficult to measure the relevance of the Hahn–Banach Theorem in Functional Analysis, given the numerous corollaries and applications it has. It also finds applications in other areas of mathematics; for example, Complex Analysis, Measure Theory, Control Theory, Convex Programming, and Game Theory.

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Hahn–Banach Theorems

  • Geraldo Botelho,
  • Daniel Pellegrino,
  • Eduardo Teixeira

摘要

It is difficult to measure the relevance of the Hahn–Banach Theorem in Functional Analysis, given the numerous corollaries and applications it has. It also finds applications in other areas of mathematics; for example, Complex Analysis, Measure Theory, Control Theory, Convex Programming, and Game Theory.