Theorem of Banach-Mazur
The theorem of Banach-Mazur is a tool of analyzes functional. In a very approximate way, it expresses that the normalized vector spaces checking reasonable conditions from the point of view of the analysis are subspaces closed of the space of the continuous ways on the real line. The theorem bears the name of Stefan Banach and Stanisław Mazur.
Statement of the theorem
All separable Espace of Banach is isometric with a subspace closed of , the space of the continuous functions of the interval unit on the real line.
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