Jordan Triple Derivations on J-subspace Lattice Algebras
Jordan Triple Derivations on J-subspace Lattice Algebras
摘要
Let L be a J-subspace lattice on a Banach space X and Alg/2 the associated J-subspace lattice
Let L be a J-subspace lattice on a Banach space X and Alg/2 the associated J-subspace lattice
基金
Supported by Research Fund for the Doctoral Program of Higher Education of China(Grant No.20101402110012)
Tian Yuan Foundation of China(Grant No.11026161)
Foundation of Shanxi University
参考文献12
-
1Herstein, I. N.: Topics in Ring Theorey, Univ. of Chicago Press, Chicago, London, 1969.
-
2Bresar, M.: Jordan mappings of semiprime rings. J. Algebra, 127, 218-228 (1989).
-
3Li, J.-K., Lu, F.-Y.: Additive Jordan derivations of reflexive algebras. J. Math. Anal. Appl., 329, 102-111 (2007).
-
4Zhang, J.-H.: Jordan derivations on nest algebras (in Chinese). Acta Mathematica Sinica, Chinese Series, 41, 205-213 (1998).
-
5Zhu, J., Xiong, C.-P.: Generalized derivations on rings and mappings of 'P-preserving kernel into range on Von neumann algebras (in Chinese). Acta Mathematica Sinica, Chinese Series, 41, 795-800 (1998).
-
6Ma, F., Ji, G.-X.: Generalized Jordan derivations on triangular matrix algebras. Linear Multilinear Algebra, 55, 355-363 (2007).
-
7Hou, J.-C., Qi, X.-F.: Generalized Jordan derivation on nest algebras. Linear Algebra Appl., 430, 1479- 1485 (2009).
-
8Fosner, M., Ilisevid, D.: On Jordan triple derivations and related mappings. Mediterr. J. Math., 5, 1660- 5454 (2008).
-
9Longstaff, W. E., Panaia, O.: J-subspce lattices and subspace M-bases. Studia Math., 139, 197-211 (2000).
-
10Longstaff, W. E.: Strongly reflexive lattices. J. London Math. Soc., 11, 491-498 (1975).
-
1Xiao Fei QI.Characterization of Lie Higher Derivations on Triangular Algebras[J].Acta Mathematica Sinica,English Series,2013,29(5):1007-1018.
-
2Driss AIAT HADJ AHMED.On Jordan Biderivations of Triangular Matrix Rings[J].Journal of Mathematical Research with Applications,2016,36(2):162-170. 被引量:3
-
3詹建明,谭志松.T-local Derivations of von Neumann Algebras[J].Northeastern Mathematical Journal,2004,20(2):145-152.
-
4ZHANG Pu and LIU Shaoxue1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China,2. Department of Mathematics, Beijing Normal University, Beijing 100875, China.An equality on Hochschild homology groups[J].Chinese Science Bulletin,1997,42(8):624-627. 被引量:1
-
5Zhang JianhuaFaculty of Science,Xi’an Jiaotong University,Xi’an 710049,China. College of Math. and Inform. Sci., Shaanxi Normal Univ., Xi’an 710062,China..LOCAL 2-COCYCLES[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(3):284-290. 被引量:2
-
6JIANG QiFen,JIAO XiangYu.Bimodule and twisted representation of vertex operator algebras[J].Science China Mathematics,2016,59(2):397-410.
-
7许可康,韩京清.DETERMINATION OF TRANSFORMATION MATRIX INTO CANONICAL FORM BY UNIMODULAR MATRIX[J].Chinese Science Bulletin,1983,28(11):1441-1445.
-
8Cheng-jun HOU~(1+) Ben-yin FU~2 1 School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China,2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China.Local 3-cocycles of von Neumann algebras[J].Science China Mathematics,2007,50(9):1240-1250.
-
9Xiao Fei QI,Jin Chuan HOU.Characterizing Centralizers and Generalized Derivations on Triangular Algebras by Acting on Zero Product[J].Acta Mathematica Sinica,English Series,2013,29(7):1245-1256. 被引量:8
-
10JIANG Wei,JIANG CuiBo.Bimodules associated to vertex operator superalgebras[J].Science China Mathematics,2008,51(9):1705-1725. 被引量:1