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

• Autorzy: Piotr Budzyński , Jan Stochel
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20M20: Semigroups of transformations, etc.
• 47D03: Groups and semigroups of linear operators
• 47B33: Composition operators
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 179
• Numer: 2
• Strony: 167-184

Daty

wydano

2007

Twórcy

autor

Piotr Budzyński

• Zakład Zastosowań Matematyki, Akademia Rolnicza, Al. Mickiewicza 24/28, 30-059 Kraków, Poland

autor

Jan Stochel

• Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/sm179-2-4