On Inner Products Derived From the Standard n-Inner Product on an Inner Product Space

被引：0

作者：

Adam, Adam ^{[1
]}

Rante, Steven ^{[2
]}

Gunawan, Hendra ^{[2
]}

机构：

[1] Inst Teknol Kalimantan, Dept Math, Balikpapan 76127, Indonesia

[2] Bandung Inst Technol, Fac Math & Nat Sci, Anal & Geometry Grp, Bandung 40132, Indonesia

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 03期

关键词：

Inner products; n-inner products; orthogonality; orthogonal set; orthonormal basis;

D O I：

10.29020/nybg.ejpam.v17i3.5263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study relations between inner products derived from the standard n-inner product defined on an inner product space. In particular, we are interested in knowing when orthogonality with respect to the original inner product is preserved by the derived inner product.

引用

页码：1937 / 1947

页数：11

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