Maps preserving numerical radius and cross norms of operator products
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Publication:5323203
DOI10.1080/03081080902933934zbMath1172.47006OpenAlexW2107696007MaRDI QIDQ5323203
Xiu-Ling Zhang, Kan He, Jin-Chuan Hou
Publication date: 23 July 2009
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080902933934
Semigroups of nonlinear operators (47H20) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Numerical range, numerical radius (47A12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (6)
\(A\)-numerical radius and product of semi-Hilbertian operators ⋮ On an extension of operator transforms ⋮ The Cuntz comparison in the standard \(\mathrm C^*\)-algebra ⋮ Properties and preservers of numerical radius on skew Lie products of operators ⋮ A generalization of Gudder–Nagy's theorem with numerical ranges of operators ⋮ Preservers of radial unitary similarity functions on Lie products of self-adjoint operators
Cites Work
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- Chapter 6: linear preservers on numerical ranges, numerical radii and unitary similarity invariant norms
- Numerical radius distance-preserving maps on $\mathcal {B}(H)$
- Maps preserving numerical radius distance on C*-algebras
- 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
- Product of operators and numerical range preserving maps
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