Some relations of projection and star order in Hilbert space

被引：3

作者：

Deng, Chunyuan ^{[1
]}

Yu, Anqi ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 474卷

基金：

中国国家自然科学基金;

关键词：

Projection; *-order; Operator matrix; INVOLUTION;

D O I：

10.1016/j.laa.2015.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the star order on B(H) and show several properties for which the common star lower or star upper bound exists regarding the relationships among operators and projections. We give various characterizations of star order and obtain much simpler matrix representations with respect to star order relation. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：158 / 168

页数：11

共 50 条

[41] SOME GEOMETRICAL INEQUALITIES FOR SETS IN HILBERT SPACE
AULBACH, H
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 56 (02) : 161 - 161
[42] SOME DIFFERENTIAL EQUATIONS IN HILBERT-SPACE
GOLICHEV, II
DOKLADY AKADEMII NAUK SSSR, 1974, 214 (05): : 989 - 992
[43] SOME IDEALS OF OPERATORS ON HILBERT-SPACE
BENNETT, G
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (06): : A532 - A532
[44] On Some Automorphisms of the Set of Effects on Hilbert Space
Lajos Molnár
Letters in Mathematical Physics, 2000, 51 : 37 - 45
[45] SOME GEOMETRICAL INEQUALITIES FOR SETS IN HILBERT SPACE
AULBACH, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (01) : 36 - 45
[46] Some Hilbert spaces related with the Dirichlet space
Arcozzi, Nicola
Mozolyako, Pavel
Perfekt, Karl-Mikael
Richter, Stefan
Sarfatti, Giulia
CONCRETE OPERATORS, 2016, 3 (01): : 94 - 101
[47] On some automorphisms of the set of effects on Hilbert space
Molnár, L
LETTERS IN MATHEMATICAL PHYSICS, 2000, 51 (01) : 37 - 45
[48] SOME TOPICS IN PRE-HILBERT SPACE
EPIFANIO, G
TRAPANI, C
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (01) : 39 - 42
[49] Some remarks on complementarity problems in a Hilbert space
Carbone, A
Zabreiko, PP
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2002, 21 (04): : 1005 - 1014
[50] On some properties of the Hilbert transform in Euclidean space
Delanghe, R
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2004, 11 (02) : 163 - 180

← 1 2 3 4 5 →