Commutative C*-Algebras of Toeplitz Operators on the Unit Ball, I. Bargmann-Type Transforms and Spectral Representations of Toeplitz Operators

Autor:	Raul Quiroga-Barranco, Nikolai Vasilevski
Rok vydání:	2007
Předmět:	Algebra Unit sphere Pure mathematics Algebra and Number Theory Bounded function Type (model theory) Invariant (mathematics) Unit disk Commutative property Unit (ring theory) Analysis Toeplitz matrix Mathematics
Zdroj:	Integral Equations and Operator Theory. 59:379-419
ISSN:	1420-8989 0378-620X
DOI:	10.1007/s00020-007-1537-6
Popis:	Extending known results for the unit disk, we prove that for the unit ballB n there exist n+2 difierent cases of commutative C ⁄ -algebras generated by Toeplitz operators, acting on weighted Bergman spaces. In all cases the bounded measurable symbols of Toeplitz operators are invariant under the action of certain commutative subgroups of biholomorphisms of the unit ball. Mathematics Subject Classiflcation (2000). Primary 47B35; Secondary 47L80, 32A36.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::711aad1489b0c58ba6dcffff6112d9bf https://doi.org/10.1007/s00020-007-1537-6 Zobrazit plný text záznamu Full text from SpringerLink