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The Three Basic Principles

Carlos A. de Moura
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Carlos A. de Moura: Rio de Janeiro State University - UERJ, IME – Instituto de Matemática e Estatística

Chapter Chapter 5 in Functional Analysis Tools for Practical Use in Sciences and Engineering, 2022, pp 139-160 from Springer

Abstract: Abstract This chapter is devoted to the so-called three Functional Analysis basic principles: the Hahn-Banach Theorem about continuous extension of linear forms; the Open Mapping Theorem – one of whose consequences has been used in the proof of Theorem 5.1, Sect. 3.2 . and the Banach-Steinhaus Theorem, or Uniform Boundedness Principle, which we have also mentioned previously (Theorem 4.2 ).

Date: 2022
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DOI: 10.1007/978-3-031-10598-2_5

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