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Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions
(Institute of Mathematics Polish Academy of Sciences, 2018)
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 ...
Frequently hypercyclic weighted backward shifts on spaces of real analytic functions
(TÜBİTAK, 2018)
We study frequent hypercyclicity in the case of weighted backward shift operators acting on locally convex spaces of real analytic functions. We obtain certain conditions on frequent hypercyclicity and linear chaoticity ...
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