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arXiv · 1809.03882

Generalized multipliers for left-invertible operators and applications

Pawel Pietrzycki
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Abstract

We introduce generalized multipliers for left-invertible operators which formal Laurent series $U_x(z)=\sum_{n=1}^\infty(P_ET^{n}x) \frac{1}{z^n}+\sum_{n=0}^\infty(P_E{T^{\prime*}}^{n}x)z^n$ actually represent analytic functions on an annulus or a disc.

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Pawel Pietrzycki. 2018-09-09. Generalized multipliers for left-invertible operators and applications. https://doi.org/10.1007/s00020-020-02598-1

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