An estimate of the Banach-Mazur distances between Hilbert spaces and Banach spaces

被引：0
|
作者：
Sánchez Pérez E.A. [1 ]
Del Campo Cañizares S. [1 ]
机构：
[1] Departmento de Matemática Aplicada, E.T.S. Ingenieros Agrónomos, Universitat Politécnica de Valencia
来源：
Rendiconti del Circolo Matematico di Palermo | 1997年 / 46卷 / 3期
关键词：
Hilbert Space; Banach Space; Finite Subset; Finite Measure; Norm Topology;
D O I：
10.1007/BF02844285
中图分类号：
学科分类号：
摘要：
We discuss a geometric property that provides tools for the estimate of the Δ 2 on spaces of Rademacher functions with values on a Banach space for particular sequences of vectors. We obtain in this way a technique to study those Banach spaces that are isomorphic to Hilbert spaces. In particular, an estimate of the Banach-Mazur distance between such these spaces is obtained. © 1997 Springer-Verlag.
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页码：465 / 476
页数：11
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