Domański, P.Karıksız, Can Deha2018-09-252018-09-2520180039-3223http://hdl.handle.net/10679/5975https://doi.org/10.4064/sm8739-6-2017Usually 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.engrestrictedAccessarticle2421577800043053230000310.4064/sm8739-6-2017Space of real analytic functionsWeighted backward shiftPoint spectrumHypercyclic operator2-s2.0-85044183449