Little Grothendieck's theorem for sublinear operators

被引：4

作者：

Achour, D ^{[1
]}

Mezrag, L ^{[1
]}

机构：

[1] Msilia Univ, Dept Math, Msila 28105, Algeria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 296卷 / 02期

关键词：

Banach lattice; sublinear operator; p-summing operator; p-regular operator;

D O I：

10.1016/j.jmaa.2004.04.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let SB(X, Y) be the set of the bounded sublinear operators from a Banach space X into a Banach lattice Y. Consider pi(2)(X, Y) the set of 2-summing sublinear operators. We study in this paper a variation of Grothendieck's theorem in the sublinear operators case. We prove under some conditions that every operator in SB(C(K), H) is in pi(2) (C(K), H) for any compact K and any Hilbert H. In the noncommutative case the problem is still open. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：541 / 552

页数：12

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