### J-class weighted shifts on the space of bounded sequences of complex numbers

Costakis G, Manoussos A (2008)
Integral Equations and Operator Theory 62(2): 149-158.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Autor*in
Costakis, George; Manoussos, AntoniosUniBi
Abstract / Bemerkung
We provide a characterization of $J$-class and $J^{mix}$-class unilateralweighted shifts on $l^{\infty}(\mathbb{N})$ in terms of their weight sequences.In contrast to the previously mentioned result we show that a bilateralweighted shift on $l^{\infty}(\mathbb{Z})$ cannot be a $J$-class operator.
Stichworte
hypercyclic operators; unilateral and bilateral weighted shifts; J(mix)-class operators; J-class operators
Erscheinungsjahr
2008
Zeitschriftentitel
Integral Equations and Operator Theory
Band
62
Ausgabe
2
Seite(n)
149-158
ISSN
0378-620X
eISSN
1420-8989
Page URI
https://pub.uni-bielefeld.de/record/2562311

### Zitieren

Costakis G, Manoussos A. J-class weighted shifts on the space of bounded sequences of complex numbers. Integral Equations and Operator Theory. 2008;62(2):149-158.
Costakis, G., & Manoussos, A. (2008). J-class weighted shifts on the space of bounded sequences of complex numbers. Integral Equations and Operator Theory, 62(2), 149-158. doi:10.1007/s00020-008-1621-6
Costakis, G., and Manoussos, A. (2008). J-class weighted shifts on the space of bounded sequences of complex numbers. Integral Equations and Operator Theory 62, 149-158.
Costakis, G., & Manoussos, A., 2008. J-class weighted shifts on the space of bounded sequences of complex numbers. Integral Equations and Operator Theory, 62(2), p 149-158.
G. Costakis and A. Manoussos, “J-class weighted shifts on the space of bounded sequences of complex numbers”, Integral Equations and Operator Theory, vol. 62, 2008, pp. 149-158.
Costakis, G., Manoussos, A.: J-class weighted shifts on the space of bounded sequences of complex numbers. Integral Equations and Operator Theory. 62, 149-158 (2008).
Costakis, George, and Manoussos, Antonios. “J-class weighted shifts on the space of bounded sequences of complex numbers”. Integral Equations and Operator Theory 62.2 (2008): 149-158.

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arXiv: 0704.3349