Numerical Ranges of Antilinear Operators
Damian Kołaczek | Vladimir Müller
English. 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.
Show more [+] Less [-]English. Antilinear operators, Numerical range, Numerical index, Numerical radius, Banach space.
Show more [+] Less [-]Bibliographic information
This bibliographic record has been provided by University of Agriculture in Krakow
