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Maps preserving numerical radius and cross norms of operator products

✍ Scribed by Zhang, Xiuling; Hou, Jinchuan; He, Kan


Book ID
120710781
Publisher
Taylor and Francis Group
Year
2009
Tongue
English
Weight
154 KB
Volume
57
Category
Article
ISSN
0308-1087

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Nonlinear maps preserving numerical radi
✍ Jinchuan Hou; Kan He; Xiuling Zhang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 215 KB

Let H be a complex Hilbert space of dimension greater than 2 and J ∈ B(H) be an invertible self-adjoint operator. Denote by A † = J -1 A \* J the indefinite conjugate of A ∈ B(H) with respect to J and denote by w(A) the numerical radius of A. Let W and V be subsets of B(H) which contain all rank one