CONCAVE FUNCTIONS OF PARTITIONED MATRICES WITH NUMERICAL RANGES IN A SECTOR

被引：8

作者：

Hou, Lei ^{[1
]}

Zhang, Dengpeng ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 02期

基金：

美国国家科学基金会;

关键词：

Rotfel'd theorem; concave function; numerical range; accretive-dissipative matrix; ACCRETIVE-DISSIPATIVE MATRICES; DETERMINANTAL INEQUALITIES; EIGENVALUE INEQUALITIES; EXTENSION; CONVEX;

D O I：

10.7153/mia-20-40

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two inequalities for concave functions and partitioned matrices whose numerical ranges in a sector. These complement some results of Zhang in [Linear Multilinear Algebra 63 (2015) 2511-2517].

引用

页码：583 / 589

页数：7

共 20 条

[1] [Anonymous], 2013, Matrix Analysis
[2] Eigenvalue inequalities for convex and log-convex functions
Aujla, Jaspal Singh
Bourin, Jean-Christophe
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 424 (01) : 25 - 35
[3] The singular values of A+B and A+iB
Bhatia, Rajendra
Kittaneh, Fuad
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) : 1502 - 1508
[4] Unitary orbits of Hermitian operators with convex or concave functions
Bourin, Jean-Christophe
Lee, Eun-Young
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2012, 44 : 1085 - 1102
[5] An asymmetric Kadison's inequality
Bourin, Jean-Christophe
Ricard, Eric
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (03) : 499 - 510
[6] SINGULAR VALUE INEQUALITIES FOR MATRICES WITH NUMERICAL RANGES IN A SECTOR
Drury, Stephen
Lin, Minghua
[J]. OPERATORS AND MATRICES, 2014, 8 (04): : 1143 - 1148
[7] FU H. X., 2016, LINEAR MULTILINEAR A, V64, P105
[8] On the properties of accretive-dissipative matrices
George, A
Ikramov, KD
[J]. MATHEMATICAL NOTES, 2005, 77 (5-6) : 767 - 776
[9] IKRAMOV KH. D., 2002, DOKL ROSS AKAD NAUK, V384, P585
[10] Ikramov KhD., 2004, J MATH SCI N Y, V121, P2458, DOI DOI 10.1023/B:JOTH.0000026283.92486.1c

← 1 2 →