Unbounded subnormal weighted shifts on directed trees

DOI10.1016/j.jmaa.2012.04.074zbMath1304.47042arXiv1105.3641OpenAlexW2964274902MaRDI QIDQ442510

Zenon Jan Jabłoński, Piotr Budzyński, Il Bong Jung, Jan Stochel

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3641

zbMATH Keywords

subnormal operatordirected treeweighted shift on a directed treeStieltjes moment sequence

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items

Asymptotic behaviour and cyclic properties of weighted shifts on directed trees ⋮ A hyponormal weighted shift on a directed tree whose square has trivial domain ⋮ Quasinormal extensions of subnormal operator-weighted composition operators in \(\ell^{2}\)-spaces ⋮ A subnormal completion problem for weighted shifts on directed trees. II ⋮ A subnormal weighted shift on a directed tree whose \(n\)th power has trivial domain ⋮ Jan Stochel, a stellar mathematician ⋮ Subnormal weighted shifts on directed trees and composition operators in \(L\)-spaces with nondensely defined powers ⋮ A subnormal completion problem for weighted shifts on directed trees ⋮ Complete systems of unitary invariants for some classes of 2-isometries ⋮ Weighted shifts on directed semi-trees: an application to creation operators on Segal-Bargmann spaces ⋮ Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples ⋮ On unbounded composition operators in \(L^2\)-spaces ⋮ Unbounded composition operators via inductive limits: Cosubnormal operators with matrix symbols ⋮ Unbounded subnormal composition operators in \(L^2\)-spaces ⋮ A solution to the Cauchy dual subnormality problem for 2-isometries

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