Open Access
December 2016 Asymptotically Unweighted Shifts, Hypercyclicity, and Linear Chaos
Ayuko NATSUME, Masahiko TANIGUCHI
Tokyo J. Math. 39(2): 527-536 (December 2016). DOI: 10.3836/tjm/1484903135

Abstract

In this paper, we introduce weighted backward shifts, which are asymptotically unweighted, and give several conditions for such operators on the classical $\ell^p$ spaces to be hypercyclic and chaotic.

Citation

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Ayuko NATSUME. Masahiko TANIGUCHI. "Asymptotically Unweighted Shifts, Hypercyclicity, and Linear Chaos." Tokyo J. Math. 39 (2) 527 - 536, December 2016. https://doi.org/10.3836/tjm/1484903135

Information

Published: December 2016
First available in Project Euclid: 20 January 2017

zbMATH: 06701608
MathSciNet: MR3599507
Digital Object Identifier: 10.3836/tjm/1484903135

Subjects:
Primary: 47A16
Secondary: 37F99 , 46B25

Rights: Copyright © 2016 Publication Committee for the Tokyo Journal of Mathematics

Vol.39 • No. 2 • December 2016
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