Operator and Matrix Theory, Function Spaces, and Applications

Weighted Hardy spaces over the unit ball: the freely noncommutative and commutative settings.- Two aspects of small diameter properties.- Hilbert Transform in the Cartwright De Branges Space.- A Note on the Dilation of a Certain Family of Tetrablock Contractions.- Commuting Toeplitz operators and moment maps on Cartan domains of type III.- Branching symplectic monogenics using a Mickelsson Zhelobenko algebra.- On non-commutative spreadability.- Small rank perturbations of H-expansive matrices.- On the Berger-Coburn Phenomenon.- Quasi-Multipliers and Algebrizations of an Operator Space. III.- Maximal Noncompactness of Singular Integral Operators on L2 Spaces with Some Khvedelidze Weights.- Mellin pseudodifferential operators and singular integral operators with complex conjugation.- On the dual representation of the congruence kernels and the related Delsarte type transmutations of multidimensional differential operators.- Toeplitz Operator with a Finite Number of Horizontal SymbolsActing on the Poly-Fock Spaces.- On Abstract Spectral Constants.- Geometric structures related to aW -algebra.- Composition in reproducing kernel Hilbert spaces rebours.- Kippenhahn's construction revisited.- On de Finetti-type theorems.