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Carathéodory–Fejér interpolation in locally convex topological vector spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2009 United States Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 431, pages 1,257-1,266 (issn: 0024-3795, Copyright policy )
Authors: Alpay, Daniel; Timoshenko, Olga; Volok, Dan;

doi: 10.1016/j.laa.2009.04.023

Carathéodory–Fejér interpolation in locally convex topological vector spaces

Abstract

AbstractWe study Carathéodory–Herglotz functions whose values are continuous operators from a locally convex topological vector space which admits the factorization property into its conjugate dual space. We show how this case can be reduced to the case of functions whose values are bounded operators from a Hilbert space into itself.

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United States
Related Organizations
Keywords

Locally convex topological vector spaces, Numerical Analysis, Algebra, Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology, Other Mathematics, Positive kernels

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
hybrid