A Schur type analysis of the minimal weak unitary Hilbert space dilations of a Krein space bicontraction and the Relaxed Commutant Lifting Theorem in a Krein space setting

被引：2

作者：

Marcantognini, S. A. M. ^{[1
]}

Moran, M. D. ^{[2
]}

机构：

[1] Inst Venezolano Invest Cient, Dept Math, Caracas, Venezuela

[2] Cent Univ Venezuela, Fac Ciencias, Escuela Matemat, Caracas 1020A, Venezuela

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 259卷 / 10期

关键词：

Krein space bicontraction; Weak unitary dilation; Schur analysis; Relaxed Commutant Lifting Theorem; Interpolant; Arov-Grossman model; Coupling method; INTERPOLATION; OPERATORS;

D O I：

10.1016/j.jfa.2010.07.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A parameterization of the minimal weak unitary Hilbert space dilations of a given continuous bicontractive operator on a Krein space by means of operator-valued Schur functions is obtained from the Arov-Grossman functional model. The result is combined with the coupling method to give a parametric description of the interpolants in a Krein space version of the Relaxed Commutant Lifting Theorem. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2557 / 2586

页数：30

共 11 条

[1] KREIN SPACE UNITARY DILATIONS OF HILBERT SPACE HOLOMORPHIC SEMIGROUPS
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