Joint subnormality of n-tuples and C0-semigroups of composition operators on L2-spaces

被引：5
|
作者：
Budzynski, Piotr
Stochel, Jan
机构：
[1] Akad Rolnicza, Zaklad Zastosowan Matemat, PL-30059 Krakow, Poland
[2] Jagiellonian Univ, Inst Matemat, PL-30059 Krakow, Poland
来源：
STUDIA MATHEMATICA | 2007年 / 179卷 / 02期
关键词：
composition operator on L-2-space; C-0-semigroup; subnormal operator; joint subnormality;
D O I：
10.4064/sm179-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Joint subnormality of a family of composition operators on L-2-space is characterized by means of positive definiteness of appropriate Radon-Nikodym derivatives. Next, simplified positive definiteness conditions guaranteeing joint subnormality of a C-0-semigroup of composition operators are supplied. Finally, the Radon-Nikodym derivatives associated to a jointly subnormal C-0-semigroup of composition operators are shown to be the Laplace transforms of probability measures (modulo a C-0-group of scalars) constituting a measurable family.
引用
收藏
页码：167 / 184
页数：18
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