2 9 D ec 1 99 3 Proportional subspaces of spaces with unconditional basis have good volume properties Marius Junge
نویسنده
چکیده
A generalization of Lozanovskii's result is proved. Let E be k-dimensional sub-space of an n-dimensional Banach space with unconditional basis. 1 k ≤ e n k 2. This answers a question of V. Milman which appeared during a GAFA seminar talk about the hyperplane problem. We add logarithmical estimates concerning the hyperplane conjecture for proportional subspaces and quotients of Banach spaces with unconditional basis.
منابع مشابه
D ec 1 99 3 Hyperplane conjecture for quotient spaces of L p
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