Characterizations of Nonlinear Lie Derivations of B(X)
Let X be an infinite dimensional Banach space, and Φ:B(X)→B(X) is a nonlinear Lie derivation. Then Φ is the form δ+τ where δ is an additive derivation of B(X) and τ is a map from B(X) into its center ZB(X), which maps commutators into the zero.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/245452 |
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