Abstract
Let A be a standard operator subalgebra of nest algebra which does not contain the identity operator, acting on a Hilbert space of dimension greater than one. If φ is a bijective Lie triple map from A onto an arbitrary algebra, that is \(\phi(\big{[{[a,b]},c\big]})\)=\(\big{[[\phi(a),\phi(b)],\phi(c)\big]}\),for all a,b,c ∈ A,then φ is additive.
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© 2012 Springer-Verlag GmbH Berlin Heidelberg
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Jiang, H., Ji, P., Sun, X. (2012). Additivity of Lie Triple Isomorphisms on Standard Operator Subalgebras of Nest Algebras. In: Zhang, Y. (eds) Future Wireless Networks and Information Systems. Lecture Notes in Electrical Engineering, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27323-0_18
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DOI: https://doi.org/10.1007/978-3-642-27323-0_18
Publisher Name: Springer, Berlin, Heidelberg
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