Finite dimensional backward shift invariant subspaces of Arveson spaces

DOI10.1016/S0024-3795(02)00251-3zbMath1019.46023MaRDI QIDQ1611871

Vladimir Bolotnikov, Leiba Rodman

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

shift invariant subspacesArveson spaces

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Invariant subspaces of linear operators (47A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Finite Dimensional Backward Shift Invariant Subspaces of a Class of Reproducing Kernel Hilbert Spaces ⋮ Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball. ⋮ Positive extension problems for a class of structured matrices. ⋮ Multivariable backward-shift-invariant subspaces and observability operators ⋮ Rational hyperholomorphic functions in \(\mathbb R^4\) ⋮ Carathéodory Fejér interpolation in the ball with mixed derivatives

Cites Work

• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Complete Nevanlinna-Pick kernels
• Spectral Properties of Elementary Operators. II
• Sous-espaces de codimension finie dans la boule unité et un problème de factorisation
• Interpolation for multipliers on reproducing kernel Hilbert spaces
• Theory of Reproducing Kernels
• Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem
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