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

Piotr Budzyński, and Jan Stochel. "Joint subnormality of n-tuples and C₀-semigroups of composition operators on L²-spaces." Studia Mathematica 179.2 (2007): 167-184. <http://eudml.org/doc/285322>.

@article{PiotrBudzyński2007,
abstract = {Joint subnormality of a family of composition operators on L²-space is characterized by means of positive definiteness of appropriate Radon-Nikodym derivatives. Next, simplified positive definiteness conditions guaranteeing joint subnormality of a C₀-semigroup of composition operators are supplied. Finally, the Radon-Nikodym derivatives associated to a jointly subnormal C₀-semigroup of composition operators are shown to be the Laplace transforms of probability measures (modulo a C₀-group of scalars) constituting a measurable family.},
author = {Piotr Budzyński, Jan Stochel},
journal = {Studia Mathematica},
keywords = {composition operator; -space; -semigroup; subnormal operator; joint subnormality},
language = {eng},
number = {2},
pages = {167-184},
title = {Joint subnormality of n-tuples and C₀-semigroups of composition operators on L²-spaces},
url = {http://eudml.org/doc/285322},
volume = {179},
year = {2007},
}

TY - JOUR
AU - Piotr Budzyński
AU - Jan Stochel
TI - Joint subnormality of n-tuples and C₀-semigroups of composition operators on L²-spaces
JO - Studia Mathematica
PY - 2007
VL - 179
IS - 2
SP - 167
EP - 184
AB - Joint subnormality of a family of composition operators on L²-space is characterized by means of positive definiteness of appropriate Radon-Nikodym derivatives. Next, simplified positive definiteness conditions guaranteeing joint subnormality of a C₀-semigroup of composition operators are supplied. Finally, the Radon-Nikodym derivatives associated to a jointly subnormal C₀-semigroup of composition operators are shown to be the Laplace transforms of probability measures (modulo a C₀-group of scalars) constituting a measurable family.
LA - eng
KW - composition operator; -space; -semigroup; subnormal operator; joint subnormality
UR - http://eudml.org/doc/285322
ER -