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 be a complex Hilbert space and let be the algebra of all bounded linear operators on . We characterize additive maps from onto itself preserving different spectral quantities such as the minimum modulus, the surjectivity modulus, and the maximum modulus of operators. Received: 15 July 2008