Projective modules and Hilbert spaces with a Nevanlinna-Pick kernel

DOI10.1090/S0002-9939-98-04624-3zbMath0904.46053MaRDI QIDQ4210585

Robert Clancy, Scott A. McCullough

Publication date: 22 September 1998

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

zbMATH Keywords

Hilbert modulesregular representationcommutant lifting theoremdiagonal Nevanlinna-Pick (NP) kernel

Mathematics Subject Classification ID

Projective and injective objects in functional analysis (46M10) Dilations, extensions, compressions of linear operators (47A20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (5)

A von Neumann type inequality for certain domains in $\mathbf C^n$ ⋮ On the unilateral shift as a Hilbert module over the disc algebra ⋮ Invariant subspaces and Nevanlinna-Pick kernels ⋮ Commutant lifting on a two holded domain ⋮ Products of Nevanlinna-Pick kernels and operator colligations

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