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Additive maps preserving the minimum and surjectivity moduli of operators
Authors:Mohamed Bendaoud
Affiliation:(1) Département de mathématiques, Faculté des Sciences, University Moulay Ismail, Meknès, Maroc
Abstract:Let $${mathcal{H}}$$ be a complex Hilbert space and let $${mathcal{L}}({mathcal{H}})$$ be the algebra of all bounded linear operators on $${mathcal{H}}$$. We characterize additive maps from $${mathcal{L}}({mathcal{H}})$$ onto itself preserving different spectral quantities such as the minimum modulus, the surjectivity modulus, and the maximum modulus of operators. Received: 15 July 2008
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000). Primary 47B48  Secondary 47A10, 46A05
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