Document JFM 53.0234.01

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Weil, A.

Sur les espaces fonctionnels. (French) JFM 53.0234.01

C. R. 184, 67-69 (1927).

Es wird gezeigt, daß der Raum \(C\) der in einem festen Intervall stetigen Funktionen und der Hilbertsche Raum \(H\) der in einem festen Intervall quadratisch summierbaren Funktionen zwei verschiedene Typen von topologisch affinen Räumen (Fréchet) sind, d. h. es gibt keine lineare, eineindeutige und in beiden Richtungen stetige Transformation, die \(C\) in \(H\) überführt.

Reviewer: Doetsch, G., Prof. (Stuttgart)

Cited in 1 Document

JFM Section:

Vierter Abschnitt. Analysis. Kapitel 3. Allgemeine Theorie der reellen Funktionen. C. Neuere Theorie der reellen Funktionen.

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