-Scalar operators on cyclic spaces
algebras of operators on a half-space
-algebras of operators on a half-space, II. Index theory
-Estimates for certain kernels on local fields
C₀-semigroups generated by second order differential operators
Let with a,b ≥ 2. We consider the C₀-semigroups generated by this operator on the spaces of continuous functions, respectively square integrable functions. The connection between these semigroups together with suitable approximation processes is studied. Also, some qualitative and quantitative properties are derived.
C*-algebras have a quantitative version of Pełczyński's property (V)
A Banach space has Pełczyński’s property (V) if for every Banach space every unconditionally converging operator is weakly compact. H. Pfitzner proved that -algebras have Pełczyński’s property (V). In the preprint (Krulišová, (2015)) the author explores possible quantifications of the property (V) and shows that spaces for a compact Hausdorff space enjoy a quantitative version of the property (V). In this paper we generalize this result by quantifying Pfitzner’s theorem. Moreover, we...
Canonical commutation relations and interacting Fock spaces
We introduce by means of reproducing kernel theory and decomposition in orthogonal polynomials canonical correspondences between an interacting Fock space a reproducing kernel Hilbert space and a square integrable functions space w.r.t. a cylindrical measure. Using this correspondences we investigate the structure of the infinite dimensional canonical commutation relations. In particular we construct test functions spaces, distributions spaces and a quantization map which generalized the work of...
Carlemann Operators on Banach Lattices.
Carleson embeddings.
Carleson measures and Toeplitz operators on small Bergman spaces on the ball
We study Carleson measures and Toeplitz operators on the class of so-called small weighted Bergman spaces, introduced recently by Seip. A characterization of Carleson measures is obtained which extends Seip’s results from the unit disk of to the unit ball of . We use this characterization to give necessary and sufficient conditions for the boundedness and compactness of Toeplitz operators. Finally, we study the Schatten classes membership of Toeplitz operators for .
Cartesian and Polar Decompositions of Hypernormal Operators.
Cauchy operator on Bergman space of harmonic functions on unit disk
Centered operators
Centered weighted composition operators via measure theory
We describe the centered weighted composition operators on in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert’s theorem on centered composition operators.
Central extension of mappings on von Neumann algebras.
Certain function spaces related to the metaplectic representation
Certain invariant subspaces for operators with rich eigenvalues.
Certain notes on the numerical range of an unbounded operator
Certaines propriétés des opérateurs de Riesz
Cesaro asymptotic equipartition of energy in the coupled case.