Carathéodory-Fejér interpolation in locally convex topological vector spaces

Daniel Alpay; Olga Timoshenko; Dan Volok

doi:10.1016/j.laa.2009.04.023

Carathéodory-Fejér interpolation in locally convex topological vector spaces

Daniel Alpay, Olga Timoshenko, Dan Volok

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We 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.

Original language	English
Pages (from-to)	1257-1266
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	431
Issue number	8
DOIs	https://doi.org/10.1016/j.laa.2009.04.023
State	Published - 1 Sep 2009

Keywords

Locally convex topological vector spaces
Positive kernels

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2009.04.023

Cite this

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title = "Carath{\'e}odory-Fej{\'e}r interpolation in locally convex topological vector spaces",

abstract = "We study Carath{\'e}odory-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.",

keywords = "Locally convex topological vector spaces, Positive kernels",

author = "Daniel Alpay and Olga Timoshenko and Dan Volok",

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AU - Alpay, Daniel

AU - Timoshenko, Olga

AU - Volok, Dan

PY - 2009/9/1

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N2 - We 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.

AB - We 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.

KW - Locally convex topological vector spaces

KW - Positive kernels

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U2 - 10.1016/j.laa.2009.04.023

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 8

ER -

Carathéodory-Fejér interpolation in locally convex topological vector spaces

Abstract

Keywords

ASJC Scopus subject areas

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