Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions

DOI10.4064/sm8739-6-2017zbMath1502.47045OpenAlexW2783877736MaRDI QIDQ4634602

Can Deha Karıksız, Paweł Domański

Publication date: 10 April 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm8739-6-2017

zbMATH Keywords

point spectrumhypercyclic operatorweighted backward shiftspace of real analytic functions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (3)

A hypercyclicity criterion for non-metrizable topological vector spaces ⋮ Frequently hypercyclic weighted backward shifts on spaces of real analyticfunctions ⋮ Dynamics of shift operators on non-metrizable sequence spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation of holomorphic functions and surjectivity of Taylor coefficient multipliers
• Euler type partial differential operators on real analytic functions
• The Hadamard product on open sets in the extended plane
• Hadamard multipliers on spaces of real analytic functions
• Linear chaos
• Coefficient multipliers from \(H(G_ 1)\) into \(H(G_ 2)\)
• Unimodular eigenvalues, uniformly distributed sequences and linear dynamics
• Hadamard type operators on spaces of real analytic functions in several variables
• Universal functions for composition operators with non-automorphic symbol
• The space of real-analytic functions has no basis
• Representation of multipliers on spaces of real analytic functions
• Notes on Real Analytic Functions and Classical Operators
• Multiplier projections on spaces of real analytic functions in several variables
• Hadamard's multiplication theorem - recent developments
• Hypercyclic and Chaotic Convolution Operators
• Hypercyclic composition operators on spaces of real analytic functions
• The hadamard multiplication theorem and applications in summability theory
• Universal functions for composition operators
• Algebra of multipliers on the space of real analytic functions of one variable
• Operators of Hadamard type on spaces of smooth functions

This page was built for publication: Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions