Titlebook: Operator Theory; Daniel Alpay Reference work 2015 Springer Basel 2015 Schur analysis.de Branges spaces.indefinite inner product spaces.inf

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Locally Definitizable Operators: The Local Structure of the Spectrumdefine spectral points of positive/negative type and spectral points of type . via approximative eigensequences. This approach has the advantage that it does not make use of a local spectral function. Moreover, perturbation results for locally definitizable operators are discussed. Spectral points o

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Schur Analysis in an Indefinite Setting bounded by 1 on the open unit disk) and the Schur algorithm, Schur parameters and approximation, interpolation problems for Schur functions, factorization of rational 2 × 2 matrix polynomials, which are .-unitary on the unit circle, and a related inverse scattering problem. This note contains a sur

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Indefinite Hamiltoniansant results. Indefinite Hamiltonians can be seen as a distributional generalization of the classical theory of canonical Hamiltonian differential equations as studied among many others by M.G. Kre?n and Louis de Branges. The spaces in the background of this theory are no longer Hilbert spaces as in

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The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems its sign. The question is studied whether or not the eigenfunctions form a Riesz basis of the Hilbert space ...[?1, 1] or, equivalently, . is a regular critical point of the associated definitizable operator in the Kre?n space ...[?1, 1]. This question is also related to other subjects of mathemati

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Reference work 2015eneral (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to

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Reference work 2015lysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor.

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Indefinite Hamiltonians of indefinite Hamiltonians involves certain reproducing kernel Pontryagin spaces consisting of entire function which constitutes a generalization of the theory of Louis de Branges on Hilbert spaces of entire functions.