Generalized multipliers for left-invertible operators and applications

Abstract

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

arXiv admin note: text overlap with arXiv:1808.03339

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Cited by in corpus (2)

• A Shimorin-type analytic model on an annulus for left-invertible operators and applications
• On Cauchy dual operator and duality for Banach spaces of analytic functions