The p-convexity functor for Lp(X)-spaces

被引：0

作者：

Volosova, Nina V. ^{[1
]}

机构：

[1] Financial Univ Govt Russian Federat, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2022年 / 213卷 / 06期

关键词：

L-p-space; L-p-boundedness; p-convexity;

D O I：

10.1070/SM9674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A construction for transforming an arbitrary L-p(X)-norm on a normed space E into a p-convex norm is put forward. By applying this construction to the projective tensor norm, an explicit formula for the maximal p-convex L-p(X)-norm on E is obtained. Bibliography: 9 titles.

引用

页码：734 / 743

页数：10

共 50 条

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