Surjective linear maps preserving local spectra |
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| Authors: | Abdellatif Bourhim |
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| Affiliation: | Syracuse University, Department of Mathematics, 215 Carnegie Building, Syracuse, NY 13244, USA |
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| Abstract: | Let B(X) be the algebra of all bounded linear operators on an infinite dimensional complex Banach space X. We characterize linear surjective and continuous maps on B(X) preserving different local spectral quantities at a nonzero fixed vector. |
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| Keywords: | Primary 47A11 Secondary 47B49 47B48 46A05 47A10 |
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