Uniform convexity of general direct sums and interpolation spaces

被引：0

作者：

Markowicz, Joanna ^{[1
]}

Prus, Stanislaw ^{[2
]}

机构：

[1] Pedag Univ Krakow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland

[2] M Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2022年 / 14卷 / 04期

关键词：

Modulus of convexity; characteristic of convexity; general direct sum of Banach spaces; general discrete interpolation method;

D O I：

10.1142/S1793525321500187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An estimate for the modulus of convexity and characteristic of convexity of a general direct sum of Banach spaces is established. Using direct sums, we construct a space with given characteristic of convexity and the value of the modulus of convexity at 2. A result on uniform convexity of spaces obtained with the general discrete interpolation method is proved.

引用

页码：1001 / 1013

页数：13

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