Common hypercyclic vectors for multiples of backward shift

2001/12/08 by Abakumov, Evgeny, Gordon, Julia
#47A16 #47B37 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/0112085

Abstract

We prove that the space l² contains a dense set of vectors which are hypercyclic simultaneously for all multiples of the backward shift operator by constants of absolute value greater than 1.

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