Unbounded composition operators via inductive limits: Cosubnormal operators with matrix symbols

DOI10.2298/FIL1706665BzbMath1483.47046OpenAlexW3102008160MaRDI QIDQ4956608

Piotr Budzyński, Artur Płaneta, Piotr Dymek

Publication date: 2 September 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1706665b

zbMATH Keywords

subnormal operatorcomposition operator in \(L^2\)-spacecosubnormal operatorinductive limit of operators

Mathematics Subject Classification ID

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

Cites Work

• Unbounded subnormal weighted shifts on directed trees
• Seminormal composition operators on \(L^2\) spaces induced by matrices: the Laplace density case
• Seminormal composition operators on \(L^ 2\) spaces induced by matrices
• Seminormal composition operators induced by affine transformations
• On unbounded composition operators in \(L^2\)-spaces
• A multiplicative property characterizes quasinormal composition operators in \(L^2\)-spaces
• Unbounded subnormal composition operators in \(L^2\)-spaces
• On normal extensions of unbounded operators. III: Spectral properties
• Dense definiteness and boundedness of composition operators in L^2-spaces via inductive limits
• Extending positive definiteness
• Spectral Theory for Operators on a Banach Space
• Operators induced by transformations of Gaussian variables
• Inductive limit of operators and its applications
• Hyperexpansive composition operators
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