Normaloid weighted composition operators on H-2

作者：Thompson Derek^*

来源：Journal of Mathematical Analysis and Applications, 2018, 467(2): 1153-1162.

DOI：10.1016/j.jmaa.2018.07.061

• Normaloid operator
• Convexoid operator
• Hyponormal operator
• Composition operator
• Weighted composition operator
• Spectral radius

When phi is an analytic self-map of the unit disk with Denjoy-Wolff point alpha is an element of D, and rho(W-Psi,W-phi) = Psi(a), we give an exact characterization for when W-Psi,W-phi is normaloid. We also determine the spectral radius, essential spectral radius, and essential norm for a class of non-power-compact composition operators whose symbols have Denjoy-Wolff point in D. When the Denjoy-Wolff point is on partial derivative D, we give sufficient conditions for several new classes of normaloid weighted composition operators.

• 出版日期2018-11-15