Numerical radius preserving operators on C*-algebras
β Scribed by Jor-Ting Chan
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 106 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
Let H be a complex Hilbert space of dimension greater than 2 and J β B(H) be an invertible self-adjoint operator. Denote by A β = J -1 A \* J the indefinite conjugate of A β 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
Let M + n be the set of entrywise nonnegative n Γ n matrices. Denote by r(A) the spectral radius (Perron root) of A β M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S β M + n with exactly one positive entry in each row and each co