# 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.

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Costakis, George
;
Manoussos, Antonios

^{UniBi}Department

Abstract

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.

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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/s00020-008-1621-6Costakis, 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