Reflexivity of Toeplitz operators in multiply connected regions

• Autorzy: Wojciech Młocek , Marek Ptak
• Języki publikacji: EN

Abstrakty

EN

Subspaces of Toeplitz operators on the Hardy spaces over a multiply connected region in the complex plane are investigated. A universal covering map of such a region and the group of automorphisms invariant with respect to the covering map connect the Hardy space on this multiply connected region with a certain subspace of the classical Hardy space on the disc. We also present some connections of Toeplitz operators on both spaces from the reflexivity point of view.

Kategorie tematyczne

• 47L45: Dual algebras; weakly closed singly generated operator algebras
• 47L80: Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
• 47L05: Linear spaces of operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 142
• Numer: 1
• Strony: 83-97

Daty

wydano

2016

Twórcy

autor

Wojciech Młocek

• Institute of Mathematics, University of Agriculture, Balicka 253c, 30-198 Kraków, Poland

autor

Marek Ptak

• Institute of Mathematics, University of Agriculture, Balicka 253c, 30-198 Kraków, Poland
• Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Identyfikatory

DOI

10.4064/cm142-1-4