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Characterisations of derivations on some operator algebras

Published online by Cambridge University Press:  17 April 2009

Wu Jing ,
Shijie Lu  and
Pengtong Li
Wu Jing
Affiliation:
Department of Mathematics, Yuquan Campus, Zhejiang University, Hangzhou 310027, People's Republic of China e-mail: [email protected]
Shijie Lu
Affiliation:
Department of Mathematics, Yuquan Campus, Zhejian University, Hangzhou 310027, People's Republic of China e-mail: [email protected]
Pengtong Li
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China e-mail: [email protected]
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Some conditions under which a derivation on some operator algebras can be completely determined by the action on operators of zero product are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 2 , October 2002 , pp. 227 - 232
Copyright
Copyright © Australian Mathematical Society 2002

References

[1]Brešar, M. and Šemrl, P., ‘Mappings which preserve idempotents, local automorphisms and local derivations’, Canad. J. Math. 45 (1993), 483–498.CrossRefGoogle Scholar
[2]Dixmier, J., von Neumann algebras (North-Holland Publishing Company, Amsterdam, New York, 1981).Google Scholar
[3]Erdos, J.A., ‘Operators of finite rank in nest algebras’, J. London Math. Soc. 43 (1968), 391–397.CrossRefGoogle Scholar
[4]Hadwin, L.B., ‘Local multiplications on algebras spanned by idempotents’, Linear and Multilinear Algebra 37 (1994), 259–263.Google Scholar
[5]Jing, W., ‘Local derivations of reflexive algebras’, Proc. Amer. Math. Soc. 125 (1997), 869–873.Google Scholar
[6]Jing, W., ‘Local derivations of reflexive algebras II’, Proc. Amer. Math. Soc. 129 (2001), 1933–1937.Google Scholar
[7]Kadison, R.V., ‘Local derivations’, J. Algebra 130 (1990), 495–509.CrossRefGoogle Scholar
[8]Larson, D.R. and Sourour, A.R., ‘Local derivations and local automorphisms of B (X)’, Proc. Sympos. Pure. Math. 51 (1990), 187–194.Google Scholar
[9]Longstaff, W.E., ‘Strongly reflexive lattices’, J. London Math. Soc. 11 (1975), 491–498.CrossRefGoogle Scholar