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Additivity of Lie Triple Isomorphisms on Standard Operator Subalgebras of Nest Algebras

  • Hua Jiang
  • Peisheng Ji
  • Xiaolu Sun
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 143)

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,cA,then φ is additive.

Keywords

Lie triple isomorphism Additivity standard operator subalgebra of nest algebra 

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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.College of MathematicsQing Dao UniversityQingdaoP.R. China

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