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关于Bohr不等式的推广及其应用 被引量:1

The generalizations of Bohr inequality and it's applications
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摘要 在带有半范数u(·)的向量空间X上,利用凸函数和半范数的性质给出了古典的Bohr不等式的各种推广形式。与此同时推广了平行四边形法则,给出了一些重要的算子不等式。 In a vector space X with a seminorm u (·), various generalizations of the classical Bohr inequality are given by using properties of convex functions and seminorms. Moreover, the parallelogram law is also generalized and some important operator inequalities are established.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2005年第1期5-7,12,共4页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金 国家自然科学基金资助项目(19771056)
关键词 Hilbert-Schmidt范数 酉不变范数 算子凸函数 平行四边形法则 Hilbert-Schmidt norm unitarily invariant norm operator convex function parallelogram law trace
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参考文献7

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同被引文献9

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