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Your search keyword '"Bai, Zhaofang"' showing total 2 results
Start Over Author "Bai, Zhaofang" Journal linear algebra & its applications
2 results on '"Bai, Zhaofang"'

1. The structure of nonlinear Lie derivation on von Neumann algebras

Author

Bai, Zhaofang and Du, Shuanping

Subjects
*NONLINEAR theories, *LIE algebras, *VON Neumann algebras, *SUMMABILITY theory, *MATHEMATICAL mappings, *COMMUTATORS (Operator theory), *MATHEMATICAL analysis
Abstract

Abstract: Let be a von Neumann algebra with no central summands of type I1. If is a nonlinear Lie derivation, then is of the form , where is an additive derivation of and is a mapping of into its center which maps commutators into zero. [Copyright &y& Elsevier]

Published
2012
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2. Nonlinear maps preserving similarity on

Author

Du, Shuanping, Hou, Jinchuan, and Bai, Zhaofang

Subjects
*BANACH spaces, *COMPLEX variables, *HILBERT space, *HYPERSPACE
Abstract

Abstract: Let X be a real or complex Banach space with dimension at least 3, be the family of all rank one nilpotent operators. We give the concrete form of every bijective map such that . Based on this result, we characterize the surjective map for all , where H is a Hilbert space (real or complex) with dimension at least 3. [Copyright &y& Elsevier]

Published
2007
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