Title: Rank one preserving linear maps on spaces of symmetric operators
Abstract: Let H be a complex Hilbert space,and let S(H) be the space of all symmetric operators on H.Denote by Γ the subset of S(H) consisting of all rank one operators.A linear map L from S(H) to itself is called a rank one preserver on S(H) if L(Γ)Γ.A complete classification of all linear and weakly continuous rank one preservers on S(H) is given.
Publication Year: 2006
Publication Date: 2006-01-01
Language: en
Type: article
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