Pseudo shift operators with large images

• Autorzy: M. C. Calderón-Moreno
• Języki publikacji: EN

Abstrakty

EN

We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.

Kategorie tematyczne

• 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
• 30E10: Approximation in the complex domain

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 131-136

Daty

wydano

2002

Twórcy

autor

M. C. Calderón-Moreno

• Departamento de Análisis Matemático, Facultad de Matemáticas, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain

Identyfikatory

DOI

10.4064/cm93-1-8