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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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