Analytic structure of weighted shifts on directed trees

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.

References in corpus (2)

• An Analytic Model for Left-Invertible Weighted Shifts on Directed Trees
• The single equality $A^{\ast n}{A}^n=(A^{\ast }A{)}^n$ does not imply the quasinormality of weighted shifts on rootless directed trees

Cited by in corpus (4)

• An Analytic Model for Left-Invertible Weighted Shifts on Directed Trees
• A Shimorin-type analytic model on an annulus for left-invertible operators and applications
• Reduced commutativity of moduli of operators
• Generalized multipliers for left-invertible operators and applications