The cotype and uniform convexity of unitary ideals

The cotype and uniform convexity of unitary ideals
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酉理想的共型和一致凸性

DOI:
10.1007/bf02774015
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发表时间:
1983
影响因子:
1
通讯作者:
N. Tomczak
N. Tomczak
中科院分区:
数学2区
文献类型:
--
作者:
D. Garling;N. Tomczak

文献摘要

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从对称Banach序列空间E的性质出发,得到了酉Banach理想SE的一致凸性、一致光滑性、型和余型等几何性质的信息.特别是如果E有,则SE有cotype 2。证明使用真实的插值和复杂的几何。
Information about geometric properties, such as uniform convexity and smoothness, type and cotype, of a unitary Banach idealSE is obtained from properties of the symmetric Banach sequence spaceE. In particularSE has cotype 2 ifE does. The proofs use real interpolation and complex geometry.