Spectral theorem approach to commutative C⁎-algebras generated by Toeplitz operators on the unit ball: Quasi-elliptic related cases
Journal article, 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
Author
Grigori Rozenblioum
Chalmers, Mathematical Sciences
Saint Petersburg State University - Spsu
N. Vasilevski
Centro de Investigacion y de Estudios Avanzados Centro de Investigacion y de Estudios Avanzados (CINVESTAV)
Journal of Mathematical Analysis and Applications
0022-247X (ISSN) 1096-0813 (eISSN)
Vol. 528 2 127543Subject Categories
Algebra and Logic
Geometry
Mathematical Analysis
DOI
10.1016/j.jmaa.2023.127543