Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions
Type :
Article
Publication Status :
Published
Access :
restrictedAccess
Abstract
Usually backward shift is neither chaotic nor hypercyclic. We will show that on the space A(Omega) of real analytic functions on a connected set Omega subset of R with 0 is an element of Omega, the backward shift operator is chaotic and sequentially hypercyclic. We give criteria for chaos and for many other dynamical properties for weighted backward shifts on A(Omega). For special classes of them we give full characterizations. We describe the point spectrum and eigenspaces of weighted backward shifts on A(Omega) as above.
Source :
Studia Mathematica
Date :
2018
Volume :
242
Issue :
1
Publisher :
Institute of Mathematics Polish Academy of Sciences
URI
http://hdl.handle.net/10679/5975https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/242/1/92305/eigenvalues-and-dynamical-properties-of-weighted-backward-shifts-on-the-space-of-real-analytic-functions
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