Isomorphisme des algèbres A(E)

Kahane, Jean-Pierre

doi:10.1007/978-3-662-59158-1_10

Jean-Pierre Kahane²

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge ((MATHE2,volume 50))

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Résumé

Dire que deux algèbres de Banach A(E) et A(E’) sont isomorphes, c’est dire qu’il existe une application ϕ de E’ sur E, bijective et bicontinue, telle que

$$f \in A(E) \Leftrightarrow f \circ \varphi \in A(E').$$

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Faculté des Sciences d’Orsay, Université de Paris, F-Orsay, France
Professeur Jean-Pierre Kahane

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Professeur Jean-Pierre Kahane
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Kahane, JP. (1970). Isomorphisme des algèbres A(E). In: Séries de Fourier absolument convergentes. Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-59158-1_10

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DOI: https://doi.org/10.1007/978-3-662-59158-1_10
Published: 03 June 2019
Publisher Name: Springer, Berlin, Heidelberg
Online ISBN: 978-3-662-59158-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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