Dynamics of differentiation and integration operators on weighted spaces of entire functions

• Autorzy: María J. Beltrán
• Języki publikacji: EN

Abstrakty

EN

We investigate the dynamical behavior of the operators of differentiation and integration and the Hardy operator on weighted Banach spaces of entire functions defined by integral norms. In particular we analyze when they are hypercyclic, chaotic, power bounded, and (uniformly) mean ergodic. Moreover, we estimate the norms of the operators and study their spectra. Special emphasis is put on exponential weights.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 47B38: Operators on function spaces (general)
• 47A16: Cyclic vectors, hypercyclic and chaotic operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 221
• Numer: 1
• Strony: 35-60

Daty

wydano

2014

Twórcy

autor

María J. Beltrán

• Facultat de Magisteri, Universitat de València, 46022 València, Spain

Identyfikatory

DOI

10.4064/sm221-1-3