Analytic reproducing kernels and multiplication operators

zbMath0760.47010MaRDI QIDQ1203508

Gregory T. Adams, Paul J. McGuire, Vern I. Paulsen

Publication date: 10 February 1993

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

reproducing kernel Hilbert spacesorthonormal basisToeplitz operatorsmultiplication operators on the functional Hilbert spacesrange spaces of the bounded linear operators on the sequence space \(\ell_ +^ 2\)

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (12)

A class of integro-multiplication operators ⋮ Reproducing kernels: harmonic analysis and some of their applications ⋮ Tridiagonal kernels and left-invertible operators with applications to Aluthge transforms ⋮ On infinite dimensional discrete time periodically correlated processes ⋮ A characterization of boundary representations of positive matrices in the Hardy space via the Abel product ⋮ Universal Interpolating Sequences on Some Function Spaces ⋮ Extension of the Beurling's theorem ⋮ Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras ⋮ Linear dynamics in reproducing kernel Hilbert spaces ⋮ Tridiagonal shifts as compact \(+\) isometry ⋮ Reverse Cholesky factorization and tensor products of nest algebras ⋮ A functional decomposition of finite bandwidth reproducing kernel Hilbert spaces

This page was built for publication: Analytic reproducing kernels and multiplication operators