Rational functions

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

7 Scopus citations

Abstract

In classical Schur analysis, operator-valued functions appear naturally in a number of different settings, of which we mention: 1. The characteristic operator function, when the imaginary part of the operator is not of finite rank (but possibly trace class, or of Hilbert–Schmidt class). See for instance [110, 111, 242]. 2. The time-varying case, when the complex numbers are replaced by diagonal operators. See [40, 161, 162, 163]. 3. Interpolation in the Hardy space of the polydisk. One can reduce the problem to an operator-valued problem in one variable. The values are then assumed to be Hilbert-Schmidt operators. See [23, 24].

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages23-35
Number of pages13
DOIs
StatePublished - 1 Jan 2016
Externally publishedYes

Publication series

NameOperator Theory: Advances and Applications
Volume256
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

ASJC Scopus subject areas

  • Analysis

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