A Local Lifting Theorem for Jointly Subnormal Families of Unbounded Operators

被引：0

作者：

Majdak, Witold ^{[2
]}

Stochel, Jan ^{[1
]}

机构：

[1] Uniwersytet Jagiellonski, Inst Matemat, PL-30348 Krakow, Poland

[2] AGH Sci & Technol Univ, Fac Appl Math, PL-30059 Krakow, Poland

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2011年 / 69卷 / 02期

关键词：

Jointly subnormal family of operators; minimal normal extension; lift of intertwining operators; commutant lifting theorem; NORMAL EXTENSIONS;

D O I：

10.1007/s00020-010-1836-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A local lifting theorem for bounded operators that intertwine a pair of jointly subnormal families of unbounded operators is proved. Each family in question is assumed to be composed of operators defined on a common invariant domain consisting of "joint" analytic vectors. This result can be viewed as a generalization of the local lifting theorem proved by Sebesty,n, Thomson and the present authors for pairs of bounded subnormal operators.

引用

页码：233 / 246

页数：14

共 19 条

[1]

Birman M.S., 1987, Spectral theory of self-adjoint operators in Hilbert space

[2] SUBNORMAL OPERATORS [J].