Weighted shifts on directed semi-trees: an application to creation operators on Segal-Bargmann spaces

DOI10.1007/s11785-015-0466-7zbMath1369.47043OpenAlexW310970290WikidataQ59473685 ScholiaQ59473685MaRDI QIDQ504569

Witold Majdak, Jerzy Bartłomiej Stochel

Publication date: 17 January 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0466-7

zbMATH Keywords

creation operatorweighted shiftSegal-Bargmann spacedirected tree

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 (5)

Composition operators on Hilbert spaces of entire functions with analytic symbols ⋮ On analytic structure of weighted shifts on generalized directed semi-trees ⋮ Jan Stochel, a stellar mathematician ⋮ Commutants and reflexivity of multiplication tuples on vector-valued reproducing kernel Hilbert spaces ⋮ Unitary equivalence of operator-valued multishifts

Cites Work

• Normal extensions escape from the class of weighted shifts on directed trees
• A non-hyponormal operator generating Stieltjes moment sequences
• Unbounded subnormal weighted shifts on directed trees
• Unbounded subnormal weighted shifts on directed trees. II
• Subnormal weighted shifts on directed trees and composition operators in \(L\)-spaces with nondensely defined powers
• Subnormality of generalized creation operators on Bargmann's space of an infinite order
• Erratum to: Subnormality of generalized creation operators on Bargmann's space of an infinite order
• Weighted shifts on directed trees
• A hyponormal weighted shift on a directed tree whose square has trivial domain
• On a Hilbert space of analytic functions and an associated integral transform part I
• REMARKS ON A HILBERT SPACE OF ANALYTIC FUNCTIONS
• Theory of Reproducing Kernels
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