A survey on local and 2-local derivations on C*- and von Neuman algebras

被引：32
作者：
Ayupov, Shavkat [1 ]
Kudaybergenov, Karimbergen [2 ]
Peralta, Antonio M. [3 ]
机构：
[1] Natl Univ Uzbekistan, Inst Math, Tashkent 100125, Uzbekistan
[2] Karakalpak State Univ, Dept Math, Ch Abdirov 1, Nukus 230113, Uzbekistan
[3] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
来源：
TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRA | 2016年 / 672卷
关键词：
NONCOMMUTATIVE ARENS ALGEBRAS; MACKEY-GLEASON PROBLEM; JB-STAR-TRIPLES; OPERATOR-ALGEBRAS; CHARACTERIZING HOMOMORPHISMS; AUTOMATIC-CONTINUITY; JORDAN DERIVATIONS; COMPACT TRIPOTENTS; REAL; AUTOMORPHISMS;
D O I：
10.1090/conm/672/13462
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We survey the results on local and 2-local derivations on C*-algebras, von Neumann algebras and JB*-triples.
引用
收藏
页码：73 / 126
页数：54
相关论文
共 74 条
[21]   Orthogonality preservers in C*-algebras, JB*-algebras and JB*-triples [J].
Burgos, Maria ;
Fernandez-Polo, Francisco J. ;
Garces, Jorge J. ;
Martinez Moreno, Juan ;
Peralta, Antonio M. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) :220-233
[22]   Local triple derivations on C*-algebras and JB*-triples [J].
Burgos, Maria ;
Fernandez-Polo, Francisco J. ;
Peralta, Antonio M. .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 :709-724
[23]   LOCAL TRIPLE DERIVATIONS ON C*-ALGEBRAS [J].
Burgos, Maria ;
Fernandez-Polo, Francisco J. ;
Garces, Jorge J. ;
Peralta, Antonio M. .
COMMUNICATIONS IN ALGEBRA, 2014, 42 (03) :1276-1286
[24]  
Dales H. G., 2000, LONDON MATH SOC MONO, V24
[25]   CLASSIFICATION OF JBW-STAR-TRIPLE FACTORS AND APPLICATIONS [J].
DANG, T ;
FRIEDMAN, Y .
MATHEMATICA SCANDINAVICA, 1987, 61 (02) :292-330
[26]  
DINEEN S, 1986, N HOLLAND MATH STUD, V125, P67
[27]   ON THE PROBLEM OF BOUNDEDNESS OF A SIGNED MEASURE ON PROJECTIONS OF A VONNEUMANN ALGEBRA [J].
DOROFEEV, S .
JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 103 (01) :209-216
[28]  
EDWARDS CM, 1988, J LOND MATH SOC, V38, P316
[29]   Compact tripotents in bi-dual JB*-triples [J].
Edwards, CM ;
Ruttimann, GT .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1996, 120 :155-173
[30]  
Fernandez-Polo F.J., B MALAYSIAN IN PRESS
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