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arXiv · 1510.03828

Analytic structure of weighted shifts on directed trees

Piotr Budzynski·Piotr Dymek·Marek Ptak
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Abstract

We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the operators in question.

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Piotr Budzynski, Piotr Dymek, Marek Ptak. 2015-10-30. Analytic structure of weighted shifts on directed trees. https://doi.org/10.1002/mana.201500448

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