On the Bohr and Selberg inequalities in 2-*-inner product spaces

被引：0

作者：

Shateri, T. L. ^{[1
]}

Najmabad, B. Mohebbi ^{[2
]}

机构：

[1] Hakim Sabzevari Univ, Dept Math & Comp Sci, POB 397, Sabzevar, Iran

[2] Hakim Sabzevari Univ, Sabzeva, Iran

来源：

LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 03期

关键词：

Locally C*-algebra; Hilbert A-module; 2-*-inner product space; inequality;

D O I：

10.1080/03081087.2022.2030660

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Bohr inequality occurs for scalars, vectors, matrices and operators. In this paper, we introduce the new type of Bohr's inequality in Hilbert C*-modules and in 2-*-inner product spaces, which is equipped by a 2-inner product map that takes values on locally C*-algebras. Then, we obtain a version of the Selberg and Bessel inequality and its results in an A-2-inner product space.

引用

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页码：348 / 362

页数：15

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