Proceedings of the American Mathematical Society

Author(s): Jing Wu
Journal: Proc. Amer. Math. Soc. 129 (2001), 1733-1737.
MSC (2000): Primary 47L10, 47B47
Posted: January 17, 2001
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Let ${\mathcal A}$ be a reflexive algebra in Banach space

such that both $0_+\not= 0$ and $X_-\not= X$ in Lat $\mathcal A$ . Then every local derivation of $\mathcal A$ into itself is a derivation.

1.: D. Hadwin, Algebraically reflexive linear transformations, Linear and Multilinear Algebra 14 (1983), 225-233. MR 85e:47003
2.: Han Deguang and Wei Shuyun, Local derivations of nest algebras, Proc. Amer. Math. Soc. 123(1995), 3095-3100. MR 95m:47077
3.: Jing Wu, Local derivations of reflexive algebeas, Proc. Amer. Math. Soc. 125(1997), 869-873. MR 97e:47073
4.: R. V. Kadison, Local derivations, J. Algebras 130 (1990), 494-509. MR 91f:46092
5.: D. R. Larson, Reflexivity, algebraic reflexivity and linear interpolation, Amer. J. Math. 110(1988), 283-299. MR 89d:47096
6.: D. R. Larson and A. R. Sourour, Local derivations and local automorphisms of , Proc. Sym. Pure Math. 51 (1990), 187-194. MR 91k:47106
7.: W. E. Longstaff, Strongly reflexive lattices, J. London Math. Soc. 119(1975), 491-498. MR 52:15036
8.: Xu Benlong and Ma Jipu, A note on local derivation, Adv. Math (China) (in Chinese) 27(1998), 45-46. MR 99g:46096

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47L10, 47B47

Jing Wu
Affiliation: Department of Mathematics, Yantai Teachers' College, Yantai, Shandong, 264025, People's Republic of China
Address at time of publication: Department of Mathematics, Yuquan Campus of Zhejiang University, Hangzhou, Zhejiang 310027, People's Republic of China
Email: jingwu@public.ytptt.sd.cn, jingwu@math.zju.edu.cn

DOI: 10.1090/S0002-9939-01-05792-6
PII: S 0002-9939(01)05792-6
Keywords: Reflexive algebra, derivation, local derivation
Received by editor(s): September 18, 1998
Received by editor(s) in revised form: January 6, 1999 and September 20, 1999
Posted: January 17, 2001
Additional Notes: This project was supported by the NNSF of China
Communicated by: David R. Larson
Copyright of article: Copyright 2001, American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS