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

被引：31
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
[1]  
Abdullaev R. Z., 1997, UZBEK MATH ZH, V2, P3
[2]  
Alaminos J, 2007, P ROY SOC EDINB A, V137, P1
[3]   Maps preserving zero products [J].
Alaminos, J. ;
Bresar, M. ;
Extremera, J. ;
Villena, A. R. .
STUDIA MATHEMATICA, 2009, 193 (02) :131-159
[4]   Non-commutative Arens algebras and their derivations [J].
Albeverio, S. ;
Ayupov, Sh. A. ;
Kudaybergenov, K. K. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 253 (01) :287-302
[5]   THE ADJOINT OF A BILINEAR OPERATION [J].
ARENS, R .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (06) :839-848
[6]   2-Local derivations and automorphisms on B(H) [J].
Ayupov, Sh. ;
Kudaybergenov, K. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (01) :15-18
[7]   2-Local derivations on von Neumann algebras [J].
Ayupov, Shavkat ;
Kudaybergenov, Karimbergen .
POSITIVITY, 2015, 19 (03) :445-455
[8]   Local and 2-local derivations on noncommutative Arens algebras [J].
Ayupov, Shavkat ;
Kudaybergenov, Karimbergen ;
Nurjanov, Berdakh ;
Alauadinov, Amir .
MATHEMATICA SLOVACA, 2014, 64 (02) :423-432
[9]   2-LOCAL DERIVATIONS ON SEMI-FINITE VON NEUMANN ALGEBRAS [J].
Ayupov, Shavkat ;
Arzikulov, Farkhad .
GLASGOW MATHEMATICAL JOURNAL, 2014, 56 (01) :9-12
[10]   WEAK STAR-CONTINUITY OF JORDAN TRIPLE PRODUCTS AND ITS APPLICATIONS [J].
BARTON, T ;
TIMONEY, RM .
MATHEMATICA SCANDINAVICA, 1986, 59 (02) :177-191
12345678