Banach空间上算子代数的笛卡尔乘积上的次q-范数

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2020-02-01 DOI:10.2478/amsil-2019-0014

S. Dragomir

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引用次数: 0

摘要

摘要本文考虑Banach空间上有界线性算子代数的笛卡尔乘积上的次q算子范数和次q数值半径。给出了这些范数的半内积表示、与笛卡儿积上的q-范数的等价性以及通过Cauchy-Buniakowski-Swarz不等式的标量逆得到的一些逆不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces

Abstract In this paper we consider the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces. A representation of these norms in terms of semi-inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks