Improved Young and Heinz inequalities for matrices

被引:219
作者
Kittaneh, Fuad [1 ]
Manasrah, Yousef [2 ]
机构
[1] Univ Jordan, Dept Math, Amman, Jordan
[2] Al Zaytoonah Univ, Dept Math, Amman, Jordan
关键词
Unitarily invariant norm; Young inequality; Heinz inequality; Positive semidefinite matrix; OPERATORS; NORM;
D O I
10.1016/j.jmaa.2009.08.059
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give refinements of the classical Young inequality for positive real numbers and we use these refinements to establish improved Young and Heinz inequalities for matrices. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:262 / 269
页数:8
相关论文
共 11 条
[1]  
Ando T, 1995, OPER THEOR, V75, P33
[2]   MAJORIZATIONS AND INEQUALITIES IN MATRIX-THEORY [J].
ANDO, T .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 199 :17-67
[3]   A singular value inequality for Heinz means [J].
Audenaert, Koenraad M. R. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 422 (01) :279-283
[4]   ON THE SINGULAR-VALUES OF A PRODUCT OF OPERATORS [J].
BHATIA, R ;
KITTANEH, F .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (02) :272-277
[5]   Positive definite functions and operator inequalities [J].
Bhatia, R ;
Parthasarathy, KR .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 :214-228
[6]  
Bhatia R., 2013, MATRIX ANAL
[7]   Matrix Young inequalities for the Hilbert-Schmidt norm [J].
Hirzallah, O ;
Kittaneh, F .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 308 (1-3) :77-84
[8]  
Horn R.A., 2012, Matrix Analysis
[9]   NORM INEQUALITIES FOR FRACTIONAL-POWERS OF POSITIVE OPERATORS [J].
KITTANEH, F .
LETTERS IN MATHEMATICAL PHYSICS, 1993, 27 (04) :279-285