COMPLETE GEOMETRIC UNITARIES IN OPERATOR SPACES

被引：1
|
作者：
Huang, Xu-Jian [1 ]
机构：
[1] Tianjin Univ Technol, Dept Math, Tianjin 300384, Peoples R China
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2012年 / 56卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1215/ijm/1385129968
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the abstract complete geometric notion of unitaries in an operator space characterized in terms of the matrix numerical index, which is a quantity determined by a norm-one element and the matrix numerical radius.
引用
收藏
页码：633 / 645
页数：13
相关论文
共 50 条
  • [1] Geometric embeddings of operator spaces
    Porta, H
    Recht, L
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 1996, 40 (02) : 151 - 161
  • [2] ON SOME GEOMETRIC PROPERTIES OF OPERATOR SPACES
    Mal, Arpita
    Sain, Debmalya
    Paul, Kallol
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (01): : 174 - 191
  • [3] Unitaries in banach spaces
    Bandyopadhyay, P
    Jarosz, K
    Rao, TSSRK
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 2004, 48 (01) : 339 - 351
  • [4] All unitaries having operator Schmidt rank 2 are controlled unitaries
    Cohen, Scott M.
    Yu, Li
    [J]. PHYSICAL REVIEW A, 2013, 87 (02):
  • [5] Means of unitaries, conjugations, and the Friedrichs operator
    Garcia, Stephan Ramon
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 941 - 947
  • [6] Geometric unitaries in JB-algebras
    Leung, Chi-Wai
    Ng, Chi-Keung
    Wong, Ngai-Ching
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (02) : 491 - 494
  • [7] GEOMETRIC PROPERTIES ON NON-COMPLETE SPACES
    Garcia-Pacheco, Francisco J.
    Zheng, Bentuo
    [J]. QUAESTIONES MATHEMATICAE, 2011, 34 (04) : 489 - 511
  • [8] Complete order equivalence of spin unitaries
    Farenick, Douglas
    Huntinghawk, Farrah
    Masanika, Adili
    Plosker, Sarah
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 610 : 1 - 28
  • [9] WEIGHTED INEQUALITIES FOR THE GEOMETRIC MAXIMAL OPERATOR ON MARTINGALE SPACES
    左红亮
    刘培德
    [J]. Acta Mathematica Scientia, 2008, (01) : 81 - 85
  • [10] Weighted inequalities for the geometric maximal operator on martingale spaces
    Zuo Hongliang
    Liu Peide
    [J]. ACTA MATHEMATICA SCIENTIA, 2008, 28 (01) : 81 - 85
12345