Recent Advances in Operator Theory and Applications

Language: English

Published by Birkhäuser, 2008

3764388927 / 9783764388928

Series: Book 34 of 132 - Operator Theory: Advances and Applications

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - the recent IWOTA meetings, IWOTA 2006 was focused on a few special themes, without loss of the general IWOTA mission. Our special interest areas were Hilbert/Krein space operator theory; Complex function theory related to Hilbert space operators; Systems theory related to Hilbert space operators. This volume contains 16 contributions, which re ect the recent development in operator theory and applications. The organizers gratefully acknowledge the support of the following institutions: KRF (Korea Research Foundation); Department of Mathematics, Seoul National University; Research Institute of Mathematics, Seoul National University. Tsuyoshi Ando, Raul Curto Il Bong Jung, Woo Young Lee (Editors) OperatorTheory: Advances andApplications,Vol.187, 1 16 c 2008Birkh auserVerlagBasel/Switzerland AConnectionbetweenSzeg oandNehari SequencesintheMatrix-valuedCase Daniel Alpay and Israel Gohberg Abstract. One can associate to a rational function which is moreover strictly positive on the unit circle two sequences of numbers in the open unit disk, called the Szeg o sequence and the Nehari sequence. In the scalar case, they coincide up to multiplication by 1. We study the corresponding result in the matrix-valued case. Mathematics Subject Classi cation (2000). Primary: 34A55, 49N45, 70G30; Secondary: 93B15, 47B35. Keywords. Inverse problems, scattering matrix, Schurparameters, state space method, extension problems. 1. Introduction Letw(z) be a scalar rational function strictly positive on the unit circle. One can associate to it an in nite sequence of numbers in the open unit disk, called in [1] a Szeg o sequence. This sequence characterizes in a unique wayw(z)providedsome normalization is chosen; we will take 2 1 it w(e )dt=1.…

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Title
Recent Advances in Operator Theory and Applications
Author
Woo Young Lee
Publisher
Birkhäuser
Publication year
2008
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3764388927
ISBN 13
9783764388928
Item weight
577 grams
Dimensions
250x175x20 mm
Series
Book 34 of 132: Operator Theory: Advances and Applications

AHA-BUCH GmbH

Einbeck, Germany

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