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Rank 1 preservers on the unitary Lie ring

Part of: Basic linear algebra

Published online by Cambridge University Press:  09 April 2009

W. J. Wong
W. J. Wong
Affiliation:
University of Notre DameNotre Dame, Indiana 46556, U.S.A.
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Abstract

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The surjective additive maps on the Lie ring of skew-Hermitian linear transformations on a finite-dimensional vector space over a division ring which preserve the set of rank 1 elements are determined. As an application, maps preserving commuting pairs of transformations are determined.

MSC classification

Secondary: 15A27: Commutativity
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 49 , Issue 3 , December 1990 , pp. 399 - 417
Copyright
Copyright © Australian Mathematical Society 1990

References

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