Bounded reflexivity of operator spaces

被引：4

作者：

Li, JK ^{[1
]}

Pan, ZD

机构：

[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

[2] Saginaw Valley State Univ, Dept Math, Univ Ctr, MI 48710 USA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2004年 / 48卷 / 01期

关键词：

bounded reflexivity; separating vector; complete positivity;

D O I：

10.1007/s00020-002-1175-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a concept "bounded reflexivity" for a subspace of operators on a normed space. We explore the properties of bounded reflexivity, study the similarities and differences between bounded reflexivity and the usual reflexivity for a subspace of operators. As applications of bounded reflexivity, we give alternative proofs of some well known results about positivity and complete positivity of elementary operators.

引用

页码：41 / 59

页数：19

共 50 条

[41] Quantum Stochastic Cocycles and Completely Bounded Semigroups on Operator Spaces II
J. Martin Lindsay
Stephen J. Wills
Communications in Mathematical Physics, 2021, 383 : 153 - 199
[42] SOLVABILITY OF SYLVESTER OPERATOR EQUATION WITH BOUNDED SUBNORMAL OPERATORS IN HILBERT SPACES
Bekkar, Lourabi Hariz
Mansour, Abdelouahab
KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (02): : 515 - 523
[43] Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent
René Erlín Castillo
Oscar Mauricio Guzmán
Humberto Rafeiro
Mediterranean Journal of Mathematics, 2017, 14
[44] Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent
Erlin Castillo, Rene
Mauricio Guzman, Oscar
Rafeiro, Humberto
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (01)
[45] Quantum Stochastic Cocycles and Completely Bounded Semigroups on Operator Spaces II
Lindsay, J. Martin
Wills, Stephen J.
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 383 (01) : 153 - 199
[46] Normalizers of operator algebras and reflexivity
Katavolos, A
Todorov, IG
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2003, 86 : 463 - 484
[47] On the reflexivity of certain operator tuples
Athavale A.
Podder S.
Acta Scientiarum Mathematicarum, 2015, 81 (1-2): : 285 - 291
[48] Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras
Chen, Quanyuan
Fang, Xiaochun
ABSTRACT AND APPLIED ANALYSIS, 2012,
[49] Bounded reflexivity of kernels of elementary operators
Pan, Zhidong
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 574 : 153 - 166
[50] Cones with bounded and unbounded bases and reflexivity
Casini, E.
Miglierina, E.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2356 - 2366

← 1 2 3 4 5 →