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Bases dans H et bases de sous espaces de dimension finie dans A

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Linear Operators and Approximation / Lineare Operatoren und Approximation

Résumé

Nous développons ici une méthode de construction d’une base de Schauder dans H 1 et d’une base de Schauder de sous espaces de dimension finie dans A (cf. [2]) car [1] contient une erreur à la page 292 (cf. [4] pour l’historique des problèmes et [3] pour les définitions et propriétés générales).

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References

  1. |.l E. J. Akutowicz, Construction of a Schauder basis in some spaces of holomorphic functions in the unit disc. Colloq. Math. 15 (1966), 287–296.

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  2. P. Billard, Sur les bases de Schauder dans les espaces de Banach H 1 et A.C. R. Acad. Sci. Paris Sér. A 271 (1970), 36–38.

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  3. C. W. McArthur, The weak basis theorem. Colloq. Math. 18 (1967), 71–76.

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  4. I. Singer, Some remarks and problems on bases in Banach spaces. I S N M — Vol. 10 Birkhäuser, Basel 1969, 130–139.

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  5. A. Zygmund, Trigonometric series. Second edition — Cambridge 1959.

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  6. W. B. Johnson, H. P. Rosenthal and M. Zippin, On bases, finite dimensidnal decompositions, tions Israel. J. Math. 9 (1971), 488–506.

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Author information

Authors and Affiliations

  1. Université de Provence, Marseille, France

    P. Billard

Authors
  1. P. Billard
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Editor information

Editors and Affiliations

  1. Aachen, Germany

    P. L. Butzer

  2. Paris, France

    J.-P. Kahane

  3. Szeged, Hungary

    B. Szökefalvi-Nagy

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© 1972 Birkhäuser Verlag Basel

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Billard, P. (1972). Bases dans H et bases de sous espaces de dimension finie dans A . In: Butzer, P.L., Kahane, JP., Szökefalvi-Nagy, B. (eds) Linear Operators and Approximation / Lineare Operatoren und Approximation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 20. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7283-6_28

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  • DOI: https://doi.org/10.1007/978-3-0348-7283-6_28

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7285-0

  • Online ISBN: 978-3-0348-7283-6

  • eBook Packages: Springer Book Archive

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