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Linear Maps Preserving the Spectral Radius

✍ Scribed by Matej Brešar; Peter Šemrl


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
402 KB
Volume
142
Category
Article
ISSN
0022-1236

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✦ Synopsis


Let X be a complex Banach space. If 8: B(X) Ä B(X) is a surjective linear map such that A and 8(A) have the same spectral radius for every A # B(X), then 8=c3 where 3 is either an algebra-automorphism or an antiautomorphism of B(X) and c is a complex constant such that |c|=1.


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