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Local derivations of reflexive algebras II


Author: Jing Wu
Journal: Proc. Amer. Math. Soc. 129 (2001), 1733-1737
MSC (2000): Primary 47L10, 47B47
DOI: https://doi.org/10.1090/S0002-9939-01-05792-6
Published electronically: January 17, 2001
MathSciNet review: 1814104
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Abstract | References | Similar Articles | Additional Information

Abstract:

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


References [Enhancements On Off] (What's this?)

  • 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 $B(X)$, 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

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Additional Information

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: https://doi.org/10.1090/S0002-9939-01-05792-6
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
Published electronically: January 17, 2001
Additional Notes: This project was supported by the NNSF of China
Communicated by: David R. Larson
Article copyright: © Copyright 2001 American Mathematical Society

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