Operator norm attainment and inner product spaces

被引：56

作者：

Sain, Debmalya ^{[1
]}

Paul, Kallol ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 08期

关键词：

Orthogonality; Linear operators; Inner product spaces; ORTHOGONALITY; MATRICES;

D O I：

10.1016/j.laa.2013.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that a finite dimensional real norrned linear space X is an inner product space iff for any linear operator T on X, T attains its norm at e(1), e(2) is an element of S-X implies T attains its norm at span{e(1), e(2)} boolean AND S-X. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：2448 / 2452

页数：5

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