Representations of Unitary Relations Between KreAn Spaces

被引：2

作者：

Wietsma, Hendrik Luit ^{[1
]}

机构：

[1] Univ Vaasa, Dept Math & Stat, Vaasa 65101, Finland

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2012年 / 72卷 / 03期

关键词：

Unitary relation; von Neumann formulas; Weyl function; extension theory; GENERALIZED RESOLVENTS; BOUNDARY RELATIONS; OPERATORS;

D O I：

10.1007/s00020-011-1942-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The structure of unitary relations between KreAn spaces is investigated in geometrical terms. Two approaches are presented: The first approach relies on the so-called Weyl identity and the second approach is based on a graph decomposition of unitary relations. As a consequence of these investigations a quasi-block and a proper block representation of unitary operators are established. Both approaches yield also several new necessary and sufficient conditions for isometric relations to be unitary.

引用

页码：309 / 344

页数：36

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