This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Kraków, Poland, September 6-10, 2022. The volume reflects the wide interests of the participants and contains original research papers in the active areas of Operator Theory. These interests include weighted Hardy spaces, geometry of Banach spaces, dilations of the tetrablock contractions, Toeplitz and Hankel operators, symplectic Dirac operator, pseudodifferential and differential operators, singular integral operators, non-commutative probability, quasi multipliers, Hilbert transform, small rank perturbations, spectral constants, Banach-Lie groupoids, reproducing kernels, and the Kippenhahn curve. The volume includes contributions by a number of the world's leading experts and can therefore be used as an introduction to the currently active research areas in operator theory.

Covers active areas of Operator theory Includes contributions by a number of the world's leading experts in Operator Theory Contains modern topic in operator Theory like numerical range, algebraic geometry and quantum information theory

Inhalt

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. <p