Domination of unbounded operators and commutativity.

DOI10.2969/jmsj/1191419124zbMath1037.47003OpenAlexW2070956180MaRDI QIDQ1396422

Jan Stochel, Franciszek Hugon Szafraniec

Publication date: 30 June 2003

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191419124

zbMATH Keywords

formally normal operatoressentially normal operatormulti-dimensional moment problemspectral commutation

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57)

Related Items (13)

Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators ⋮ Unbounded operators having self‐adjoint, subnormal, or hyponormal powers ⋮ On determining the domain of the adjoint operator ⋮ On the closability of paranormal operators ⋮ A local lifting theorem for jointly subnormal families of unbounded operators ⋮ Dirichlet-type spaces on the unit ball and joint 2-isometries ⋮ Unbounded quasinormal operators revisited ⋮ Maximality of linear operators ⋮ Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables ⋮ Reproducing kernel Hilbert space compactification of unitary evolution groups ⋮ A criterion for the normality of unbounded operators and applications to self-adjointness ⋮ Extending positive definiteness ⋮ Spectral order for unbounded operators

This page was built for publication: Domination of unbounded operators and commutativity.