Preprint No. A-02-12

Vladimir Kadets, Nigel Kalton, Dirk Werner

Remarks on rich subspaces of Banach spaces

Abstract: We investigate rich subspaces of $L_1$ and deduce an interpolation property of Sidon sets; for the definition see the introduction. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.

Keywords: Daugavet property, rich subspace, narrow operator

Mathematics Subject Classification (MSC2000): 46B20; 46B04, 46M05, 47B38

Language: ENG

Available: Pr-A-02-12.ps

Contact: Dirk Werner, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (werner@math.fu-berlin.de)

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