Titlebook: Operator and Matrix Theory, Function Spaces, and Applications; International Worksh Marek Ptak,Hugo J. Woerdeman,Micha? Wojtylak Conference

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,Hilbert Transform in the Cartwright–de Branges Space, note, we present a formula for the Hilbert transform of ., where . belongs to the Cartwright–de Branges space associated with the de Branges function .. The formula implies several other known results.

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A Note on the Dilation of a Certain Family of Tetrablock Contractions,t disc (only the first operator of the tetrablock contraction depends on the parameter). The dilation space is the same for any member of the family. Explicit dilation for the adjoint tetrablock contraction . for every member of the family mentioned above is constructed as well. This example is impo

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On Non-commutative Spreadability, These semigroups are strictly related to spreadability, as the latter can be directly stated in terms of invariance with respect to their action..We are mainly focused on spreadable, Boolean, monotone, and .-deformed processes. In particular, we give a suitable version of the Ryll-Nardzewski Theore

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On the Berger-Coburn Phenomenon, when ., that is, for a bounded symbol ., if . is a compact or Schatten class operator, then so is .. More recently J. Xia has provided a simple example that shows that there is no Berger-Coburn phenomenon for trace class Hankel operators on the classical Fock space .. Using Xia’s example, we show t