Long Proofs of Two Carlson–Schneider Type Inertia Theorems

DOI10.1007/978-3-0348-0639-8_9zbMath1286.46027OpenAlexW22801239MaRDI QIDQ2873340

Harry Dym, Motke Porat

Publication date: 24 January 2014

Published in: Advances in Structured Operator Theory and Related Areas (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0639-8_9

zbMATH Keywords

inertia theoremsreproducing kernel spacesrealization theoryfactorization of rational matrixvalued functionsfinite-dimensional de Branges-Krein spacesLyapunov-Stein equations

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators on spaces with an indefinite metric (47B50) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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