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

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

2007-04-25

arxiv.org/abs/0704.3349v3

Mathematics

Functional Analysis

We correct some of the statements and the proofs

Scientific paper

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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