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Quasidiagonal weighted shifts on directed trees

Volume 273 / 2023

Laurent W. Marcoux, Artur Płaneta Studia Mathematica 273 (2023), 101-138 MSC: Primary 47A66; Secondary 47A65 DOI: 10.4064/sm220830-7-8 Published online: 27 November 2023

Abstract

We investigate quasidiagonality of weighted shifts on directed trees. We concentrate mainly on a subclass of weighted shifts operators called adjacency operators. In particular, we provide equivalent conditions for quasidiagonality of adjacency operators in terms of the structure of directed trees.

Authors

  • Laurent W. MarcouxDepartment of Pure Mathematics
    University of Waterloo
    Waterloo, Ontario, Canada N2L 3G1
    e-mail
  • Artur PłanetaKatedra Zastosowań Matematyki
    Uniwersytet Rolniczy w Krakowie
    31-120 Kraków, Poland
    e-mail

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