Numerical Ranges of Antilinear Operators
Damian Kołaczek | Vladimir Müller
anglais. We study numerical ranges of antilinear operators on both Hilbert and Banach spaces. We prove that the numerical range of an antilinear operator on at least two-dimensional space is always a disc, and so a convex set. This improves existing results. We also study other properties known for numerical ranges of linear operators and discuss similarities and differences in the antilinear setting.
Afficher plus [+] Moins [-]anglais. Antilinear operators, Numerical range, Numerical index, Numerical radius, Banach space.
Afficher plus [+] Moins [-]Informations bibliographiques
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