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arxiv: 1510.03828 · v2 · pith:6KOFJG5Anew · submitted 2015-10-13 · 🧮 math.FA

Analytic structure of weighted shifts on directed trees

classification 🧮 math.FA
keywords analyticdirectedweightedalgebracoefficientsfunctionsmultiplieroperators
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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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