Nonlinear -Lie-type derivations on standard operator algebras

Let H be an infinite dimensional complex Hilbert space and A be a standard operator algebra on H which is closed under the adjoint operation. It is shown that each nonlinear *-Lie-type derivation δ on A is a linear *-derivation. Moreover, δ is an inner *-derivation as well.

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Bibliographic Details
Published in:	Acta mathematica Hungarica Vol. 154; no. 2; pp. 480 - 500
Main Author:	Lin, W.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-04-2018 Springer Nature B.V
Subjects:	Derivation Hilbert space Mathematics Mathematics and Statistics 46K15 47B47 nonlinear -Lie-type derivation standard operator algebra
Online Access:	Get full text
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Description
Summary:	Let H be an infinite dimensional complex Hilbert space and A be a standard operator algebra on H which is closed under the adjoint operation. It is shown that each nonlinear -Lie-type derivation δ on A is a linear -derivation. Moreover, δ is an inner *-derivation as well.
ISSN:	0236-5294 1588-2632
DOI:	10.1007/s10474-017-0783-6