1Faculty of Mechanics and Mathematics Kharkov National University pl. Svobody 4 61077 Kharkov, Ukraine and Department of Mathematics Freie Universität Berlin Arnimallee 2–6 D-14195 Berlin, Germany 2Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A. 3Department of Mathematics Freie Universität Berlin Arnimallee 2–6 D-14195 Berlin, Germany
Studia Mathematica, Tome 159 (2003) no. 2, pp. 195-206
We investigate rich subspaces of $L_1$ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.
1
Faculty of Mechanics and Mathematics Kharkov National University pl. Svobody 4 61077 Kharkov, Ukraine and Department of Mathematics Freie Universität Berlin Arnimallee 2–6 D-14195 Berlin, Germany
2
Department of Mathematics University of Missouri Columbia, MO 65211, U.S.A.
3
Department of Mathematics Freie Universität Berlin Arnimallee 2–6 D-14195 Berlin, Germany
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Vladimir Kadets; Nigel Kalton; Dirk Werner. Remarks on rich subspaces of Banach spaces. Studia Mathematica, Tome 159 (2003) no. 2, pp. 195-206. doi: 10.4064/sm159-2-3