The Szegö and Beurling theorems and operator factorizations
Toeplitz algebras and infinite simple C*-algebras associated with reduced group C*-algebras.
Toeplitz and Hankel forms related to unitary representations of the symplectic plane
Toeplitz operators and algebras.
Toeplitz operators associated with the Siegel domains
Toeplitz operators for a certain class of function algebras
Toeplitz operators for hypodirichlet algebras
Toeplitz operators in the commutant of a composition operator
If ϕ is an analytic self-mapping of the unit disc D and if is the Hardy-Hilbert space on D, the composition operator on is defined by . In this article, we consider which Toeplitz operators satisfy
Toeplitz operators on Bergman spaces and Hardy multipliers
We study Toeplitz operators with radial symbols in weighted Bergman spaces , 1 < p < ∞, on the disc. Using a decomposition of into finite-dimensional subspaces the operator can be considered as a coefficient multiplier. This leads to new results on boundedness of and also shows a connection with Hardy space multipliers. Using another method we also prove a necessary and sufficient condition for the boundedness of for a satisfying an assumption on the positivity of certain indefinite...
Toeplitz operators on -harmonic Hardy space with .
Toeplitz Operators on Symmetric Siegel Domains.
Toeplitz operators on the 2-sphere. (Operadores de Toeplitz en la 2-esfera.)
Toeplitz operators related to certain domains in
Toeplitz operators with BMO symbols and the Berezin transform.
Toeplitz Operators with Frequency Modulated Semi-Almost Periodic Symbols.
Toeplitz quantization and asymptotic expansions: geometric construction.
Toeplitz Quantization for Non-commutating Symbol Spaces such as
Toeplitz quantization is defined in a general setting in which the symbols are the elements of a possibly non-commutative algebra with a conjugation and a possibly degenerate inner product. We show that the quantum group is such an algebra. Unlike many quantization schemes, this Toeplitz quantization does not require a measure. The theory is based on the mathematical structures defined and studied in several recent papers of the author; those papers dealt with some specific examples of this new...
Toeplitz-Berezin quantization and non-commutative differential geometry
In this survey article we describe how the recent work in quantization in multi-variable complex geometry (domains of holomorphy, symmetric domains, tube domains, etc.) leads to interesting results and problems in C*-algebras which can be viewed as examples of the "non-commutative geometry" in the sense of A. Connes. At the same time, one obtains new functional calculi (of pseudodifferential type) with possible applications to partial differential equations and group representations.
Totally Abelian Operators and Analytic Functions.
Transient behavior of powers and exponentials of large Toeplitz matrices.