Projections onto Hilbertian subspaces of Banach spaces |
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| Authors: | T. Figiel Nicole Tomczak-Jaegermann |
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| Affiliation: | (1) Institute of Mathematics, Wolish Academy of Sciences, Abrahama 18, 81825 Sopot, Poland;(2) Institute of Mathematics, Warsaw University, PKiN, IX p, 00901 Warszawa, Poland |
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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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