Linear Maps Preserving the Spectral Radi
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Matej BreΕ‘ar; Peter Ε emrl
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Article
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1996
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Elsevier Science
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English
β 402 KB
Let X be a complex Banach space. If 8: B(X) Γ 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.