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arXiv · 0704.3349

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

George Costakis·Antonios Manoussos
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Abstract

We provide a characterization of $J$-class and $J^{mix}$-class unilateral weighted shifts on $l^{\infty}(\mathbb{N})$ in terms of their weight sequences. In contrast to the previously mentioned result we show that a bilateral weighted shift on $l^{\infty}(\mathbb{Z})$ cannot be a $J$-class operator.

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George Costakis, Antonios Manoussos. 2008-06-23. J-class weighted shifts on the space of bounded sequences of complex numbers. https://arxiv.org/abs/0704.3349

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