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Adjacency preserving maps on matrices and operators

Published online by Cambridge University Press:  12 July 2007

Tatjana Petek  and
Peter Šemrl
Tatjana Petek
Affiliation:
Faculty of electrical engineering and computer science, University of Maribor, Smetanova 17, SI-2000 Maribor, Slovenia ([email protected])
Peter Šemrl
Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia ([email protected])
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Abstract

We characterize injective continuous maps on the space of real or complex rectangular matrices preserving adjacent pairs of matrices. We also extend Hua's fundamental theorem of the geometry of rectangular matrices to the infinite-dimensional case. An application in the theory of local automorphisms is presented.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 3 , June 2002 , pp. 661 - 684
Copyright
Copyright © Royal Society of Edinburgh 2002

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