Multivariable backward-shift-invariant subspaces and observability operators

DOI10.1007/s11045-006-0011-yzbMath1156.47012arXivmath/0610634OpenAlexW2047821568MaRDI QIDQ2481615

Quanlei Fang, Joseph A. Ball, Vladimir Bolotnikov

Publication date: 11 April 2008

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610634

zbMATH Keywords

Schur multiplieroperator valued functions

Mathematics Subject Classification ID

Observability (93B07) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operator methods in interpolation, moment and extension problems (47A57) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Realizations from input-output data (93B15) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Holomorphic functions of several complex variables (32A99)

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