Open Access
june 2018 Disk-cyclic and codisk-cyclic weighted pseudo-shifts
Ya Wang, Hong-Gang Zeng
Bull. Belg. Math. Soc. Simon Stevin 25(2): 209-224 (june 2018). DOI: 10.36045/bbms/1530065010

Abstract

In this paper, we characterize disk-cyclic and codisk-cyclic weighted pseudo-shifts on Banach sequence spaces, and consider the bilateral operator weighted shifts on $\ell^2(\mathbb{Z,\mathcal{K}})$ as a special case. Moreover, we present a counter-example to show that a result in [Y. X. Liang and Z. H. Zhou], Disk-cyclicity and Codisk-cyclicity of certain shift operators, Operators and Matrices, \textbf{9}(2015), 831--846] is not correct.

Citation

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Ya Wang. Hong-Gang Zeng. "Disk-cyclic and codisk-cyclic weighted pseudo-shifts." Bull. Belg. Math. Soc. Simon Stevin 25 (2) 209 - 224, june 2018. https://doi.org/10.36045/bbms/1530065010

Information

Published: june 2018
First available in Project Euclid: 27 June 2018

zbMATH: 06916056
MathSciNet: MR3819123
Digital Object Identifier: 10.36045/bbms/1530065010

Subjects:
Primary: ‎46E15 , 47A16 , 47B38

Keywords: codisk-cyclic , Disk-cyclic , operator weighted shifts , weighted pseudo-shifts

Rights: Copyright © 2018 The Belgian Mathematical Society

Vol.25 • No. 2 • june 2018
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