一般直接和与插值空间的一致凸性

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2020-12-09 DOI:10.1142/s1793525321500187

Joanna Markowicz, S. Prus

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引用次数: 0

摘要

给出了一般Banach空间直和的凸模和凸特性的估计。利用直接和，我们构造了一个具有给定凸性特征和凸性模在[公式:见文]处的值的空间。证明了用一般离散插值法得到的空间一致凸性的一个结果。

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Uniform convexity of general direct sums and interpolation spaces

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 [Formula: see text]. A result on uniform convexity of spaces obtained with the general discrete interpolation method is proved.

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.