Article
Numerical Ranges of Composition Operators with Inner Symbols
Rocky Mountain Journal of Mathematics
Document Type
Article
Publication Date
1-1-2012
Disciplines
Abstract
Operators on function paces acting by composition to the right with a fixed self-map φ of some set are called composition operators with the symbol φ. In this paper, composition operators on the Hilbert Hardy space over the unit disk are considered. The numerical ranges of composition operators with inner symbol of parabolic automorphic type of hyperbolic type are shown to be circular.
Citation Information
Valentin Matache. "Numerical Ranges of Composition Operators with Inner Symbols" Rocky Mountain Journal of Mathematics Vol. 42 Iss. 1 (2012) p. 235 - 249 Available at: http://works.bepress.com/valentin-matache/12/
Copyright © 2012 Rocky Mountain Mathematics Consortium
DOI: 10.1216/RMJ-2012-42-1-235