Raul Quiroga-Barranco

Commutative Algebras of Toeplitz Operators on the Reinhardt Domains

Abstract.Let D be a bounded logarithmically convex complete Reinhardt domain in

Recent progress in operator theory and its applications

{\mathbb{C}}^n

Toeplitz Operators, Pseudo-Homogeneous Symbols, and Moment Maps on the Complex Projective Space

centered at the origin. Generalizing a result for the one-dimensional case of the unit disk, we prove that the C*-algebra generated by Toeplitz operators with bounded measurable separately radial symbols (i.e., symbols depending only on

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

|z_1|, |z_2|, \ldots , |z_n|)

Isometric actions of simple Lie groups on pseudoRiemannian manifolds

is commutative.We show that the natural action of the n-dimensional torus