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Banach–Mazur theorem
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Banach–Mazur theorem : ウィキペディア英語版
Banach–Mazur theorem
In mathematics, the Banach–Mazur theorem is a theorem of functional analysis. Very roughly, it states that most well-behaved normed spaces are subspaces of the space of continuous paths. It is named after Stefan Banach and Stanisław Mazur.
==Statement of the theorem==
Every real, separable Banach space is isometrically isomorphic to a closed subspace of , the space of all continuous functions from the unit interval into the real line.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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