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Projections onto Hilbertian subspaces of Banach spaces

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Abstract

In this paper we obtain new estimates for the relative projection constants of subspaces of a Banach spaceY in terms of geometrical properties ofY. Our method gives thatK-convex spaces are locally π-Euclidean. We also get a version of Maurey’s extension theorem for spaces of typep<2.

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Authors and Affiliations

  1. Institute of Mathematics, Wolish Academy of Sciences, Abrahama 18, 81825, Sopot, Poland

    T. Figiel & Nicole Tomczak-Jaegermann

  2. Institute of Mathematics, Warsaw University, PKiN, IX p, 00901, Warszawa, Poland

    T. Figiel & Nicole Tomczak-Jaegermann

Authors
  1. T. Figiel
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  2. Nicole Tomczak-Jaegermann
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Figiel, T., Tomczak-Jaegermann, N. Projections onto Hilbertian subspaces of Banach spaces. Israel J. Math. 33, 155–171 (1979). https://doi.org/10.1007/BF02760556

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  • DOI: https://doi.org/10.1007/BF02760556

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