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Israel Journal of Mathematics

, Volume 33, Issue 2, pp 155–171 | Cite as

Projections onto Hilbertian subspaces of Banach spaces

  • T. Figiel
  • Nicole Tomczak-Jaegermann
Article

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.

Keywords

Normed Space Orthogonal Projection Banach Lattice Finite Dimensional Subspace Hilbertian Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1979

Authors and Affiliations

  • T. Figiel
    • 1
    • 2
  • Nicole Tomczak-Jaegermann
    • 1
    • 2
  1. 1.Institute of MathematicsWolish Academy of SciencesSopotPoland
  2. 2.Institute of MathematicsWarsaw UniversityWarszawaPoland

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