Spectral theorem approach to commutative C-algebras generated by Toeplitz operators on the unit ball: Quasi-elliptic related cases
Artikel i vetenskaplig tidskrift, 2023

We consider commutative C⁎-algebras of Toeplitz operators in the weighted Bergman space on the unit ball in Cn. For the algebras of elliptic type we find a new representation, namely as the algebra of operators which are functions of certain collections of commuting unbounded self-adjoint operators in the Bergman space.

Spectral representation

Commutative algebras

Toeplitz operators

Bergman spaces

Författare

Grigori Rozenblioum

Chalmers, Matematiska vetenskaper

Saint Petersburg State University - Spsu

N. Vasilevski

Centro de Investigacion y de Estudios Avanzados (CINVESTAV)

Journal of Mathematical Analysis and Applications

0022-247X (ISSN) 1096-0813 (eISSN)

Vol. 528 2 127543

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1016/j.jmaa.2023.127543

Mer information

Senast uppdaterat

2023-07-17