Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples

DOI10.1016/j.aim.2017.02.004zbMath1373.47022arXiv1601.06261OpenAlexW2963202263MaRDI QIDQ520369

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

Publication date: 3 April 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06261

zbMATH Keywords

consistency conditionsubnormal operatorcomposition operatoroperator generating Stieltjes moment sequencesgraphs induced by self-mapsHamburger and Stieltjes moment sequences

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Moment problems (44A60) Linear composition operators (47B33)

Related Items (15)

Conditional positive definiteness in operator theory ⋮ Quasinormal extensions of subnormal operator-weighted composition operators in \(\ell^{2}\)-spaces ⋮ Unbounded weighted conditional type operators on Orlicz spaces ⋮ Aluthge transforms of unbounded weighted composition operators in L²‐spaces ⋮ Jan Stochel, a stellar mathematician ⋮ Weighted join operators on directed trees ⋮ Joint backward extension property for weighted shifts on directed trees ⋮ Generalized multipliers for left-invertible operators and applications ⋮ \(m\)-isometric composition operators on directed graphs with one circuit ⋮ Reduced commutativity of moduli of operators ⋮ Analytic 𝑚-isometries without the wandering subspace property ⋮ A Shimorin-type analytic model on an annulus for left-invertible operators and applications ⋮ The Cauchy dual subnormality problem for cyclic \(2\)-isometries ⋮ A solution to the Cauchy dual subnormality problem for 2-isometries ⋮ Bounded point evaluation for a finitely multicyclic commuting tuple of operators

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