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Displaying similar documents to “Properties of the slant weighted Toeplitz operator.”

Berezin and Berezin-Toeplitz quantizations for general function spaces.

Miroslav Englis (2006)

Revista Matemática Complutense

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The standard Berezin and Berezin-Toeplitz quantizations on a Kähler manifold are based on operator symbols and on Toeplitz operators, respectively, on weighted L-spaces of holomorphic functions (weighted Bergman spaces). In both cases, the construction basically uses only the fact that these spaces have a reproducing kernel. We explore the possibilities of using other function spaces with reproducing kernels instead, such as L-spaces of harmonic functions, Sobolev spaces, Sobolev spaces...

On the Commutativity of a Certain Class of Toeplitz Operators

Issam Louhichi, Fanilo Randriamahaleo, Lova Zakariasy (2014)

Concrete Operators

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One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with it. Here we shall study the commutants of a certain class of quasihomogeneous Toeplitz operators defined on the harmonic Bergman space.

A criterion for Toeplitz flows to be topologically isomorphic and applications

T. Downarowicz, J. Kwiatkowski, Y. Lacroix (1995)

Colloquium Mathematicae

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A dynamical system is said to be coalescent if its only endomorphisms are automorphisms. The question whether there exist coalescent ergodic dynamical systems with positive entropy has not been solved so far and it seems to be difficult. The analogous problem in topological dynamics has been solved by Walters ([W]). His example, however, is not minimal. In [B-K2], a class of strictly ergodic (hence minimal) Toeplitz flows is presented, which have positive entropy and trivial topological...

Some eigenvalue estimates for wavelet related Toeplitz operators

Krzysztof Nowak (1993)

Colloquium Mathematicae

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By a straightforward computation we obtain eigenvalue estimates for Toeplitz operators related to the two standard reproducing formulas of the wavelet theory. Our result extends the estimates for Calderón-Toeplitz operators obtained by Rochberg in [R2]. In the first section we recall two standard reproducing formulas of the wavelet theory, we define Toeplitz operators and discuss some of their properties. The second section contains precise statements of our results and their proofs....

Toeplitz matrices and convergence

Heike Mildenberger (2000)

Fundamenta Mathematicae

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We investigate | | χ 𝔸 , 2 | | , the minimum cardinality of a subset of 2 ω that cannot be made convergent by multiplication with a single matrix taken from 𝔸 , for different sets 𝔸 of Toeplitz matrices, and show that for some sets 𝔸 it coincides with the splitting number. We show that there is no Galois-Tukey connection from the chaos relation on the diagonal matrices to the chaos relation on the Toeplitz matrices with the identity on 2 ω as first component. With Suslin c.c.c. forcing we show that | | χ 𝕄 , 2 | | <...