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Characterization of jordan homomorphisms on Mn using preserving properties

✍ Scribed by Tatjana Petek; Peter Šemrl

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
658 KB
Volume
269
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let 4:M,-+M,, n > 3, be a continuous mapping preserving spectrum and commutativity in both directions (neither linearity nor multiplicativity of C#J is assumed). Then 4 is either an automorphism or an antiautomorphism. The same result holds if 4 preserves spectrum, commutativity, and rank one matrices.

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