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.
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页码：2448 / 2452
页数：5
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