Boundary interpolation for contractive-valued functions on circular domains in Cn

被引：0

作者：

Ball, JA ^{[1
]}

Bolotnikov, V ^{[1
]}

机构：

[1] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

来源：

CURRENT TRENDS IN OPERATOR THEORY AND ITS APPLICATIONS | 2004年 / 149卷

关键词：

boundary interpolation; unitary extensions; characteristic function of a unitary colligation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a boundary interpolation problem for operator-valued functions defined on a class of bounded complete circular domains in C-n (including as particular cases, Cartan domains of types I, II and III) which satisfy the von Neumann's inequality. The solvability criterion is obtained and the set of all solutions is parametrized in terms of a family of Redheffer linear fractional transformations.

引用

页码：107 / 132

页数：26

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