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
收藏
页码：348 / 362
页数：15
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