Characterization of Inner Product Spaces by Strongly Schur-Convex Functions

被引：0
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作者：
Mirosław Adamek
机构：
[1] University of Bielsko-Biala,Department of Mathematics
来源：
Results in Mathematics | 2020年 / 75卷
关键词：
Inner product space; Schur-convex; strongly Schur-convex; Wright-convex; strongly Wright-convex; Primary 46C15; Secondary 26B25; 39B62;
D O I：
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学科分类号：
摘要：
Involving the notion of strongly Schur-convex functions we give a new characterization of inner product spaces among norm spaces. We also present a representation theorem for functions which generate strongly Schur-convex sums.
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