Recent Advances in Operator Theory and Applications

. Ed(s): Ando, Tsuyoshi; Curto, Raul E.; Jung, I. B.; Lee, Woo Young

ISBN 10: 3764388927 / ISBN 13: 9783764388928

Published by Birkhauser Verlag AG, 2008

About this Item

Contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. This volume contains sixteen research papers which reflect developments in operator theory and applications. Editor(s): Ando, Tsuyoshi; Curto, Raul E.; Jung, I. B.; Lee, Woo Young. Series: Operator Theory: Advances and Applications. Num Pages: 256 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 18. Weight in Grams: 632. . 2008. 2009th Edition. hardcover. . . . .

Seller Inventory # V9783764388928

Bibliographic Details

• Title: Recent Advances in Operator Theory and Applications
• Publisher: Birkhauser Verlag AG
• Publication Date: 2008
• Language: English
• ISBN 10: 3764388927
• ISBN 13: 9783764388928
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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."