Linear maps preserving the essential spectral radius |
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Authors: | M. Bendaoud M. Sarih |
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Affiliation: | a Département de Mathématiques, Faculté des Sciences, University Moulay Ismail, Meknès, Maroc b Département de Mathématiques et de Statistique, Université Laval, Québec, Canada G1K 7P4 |
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Abstract: | Let L(H) be the algebra of all bounded linear operators on an infinite dimensional complex Hilbert H. We characterize linear maps from L(H) onto itself that preserve the essential spectral radius. |
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Keywords: | Primary 47B49 Secondary 47A10, 47A53 |
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