@inbook{e8d276d48f9449598c82c5922e40a21f,
title = "Long proofs of two carlson–schneider type inertia theorems",
abstract = "This expository note is devoted to a discussion of the equivalence of inertia theorems of the Carlson–Schneider type with the existence of finitedimensional reproducing kernel Krein spaces of the de Branges type. The first five sections focus on an inertia theorem connected with a Lyapunov equation. A sixth supplementary section sketches an analogous treatment of the Stein equation. The topic was motivated by a question raised by Leonid Lerer.",
keywords = "Factorization of rational matrixvalued functions, Finite-dimensional de Branges–Krein spaces, Inertia theorems, Lyapunov–Stein equations, Realization theory, Reproducing kernel spaces",
author = "Harry Dym and Motke Porat",
note = "Publisher Copyright: {\textcopyright} 2013 Springer Basel.",
year = "2013",
month = jan,
day = "1",
doi = "10.1007/978-3-0348-0639-8_9",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "107--125",
booktitle = "Operator Theory",
}