Operator and matrix theory, function spaces, and applications International Workshop on Operator Theory and Its Applications 2022, Kraków, Poland /

Operator and matrix theory, function spaces, and applications [electronic resource] : International Workshop on Operator Theory and Its Applications 2022, Kraków, Poland / Marek Ptak, Hugo J. Woerdeman, Michał Wojtylak, editors.

This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Krakw, 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. Th...

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Bibliographic Details
Online Access: Full Text (via Springer)
Corporate Author: International Workshop on Operator Theory and Applications Kraków, Poland
Other Authors: Ptak, Marek, Woerdeman, Hugo J. (Hugo Jan), 1962-, Wojtylak, Michał
Format: Electronic Conference Proceeding eBook
Language:English
Published: Cham : Birkhäuser, 2024.
Series:Operator theory, advances and applications ; v. 295.
Subjects:
Operator theory > Congresses.
Table of Contents:
  • 2 Dilation of a Family of Tetrablock Contractions
  • 3 Adjoints
  • 4 A Class of Tetrablock Contractions
  • References
  • Commuting Toeplitz Operators and Moment Maps on Cartan Domains of Type III
  • 1 Introduction
  • 2 The Cartan Domains of Type III and Their Analysis
  • 2.1 Bounded and Unbounded Realizations
  • 2.2 Biholomorphism Groups
  • 2.3 Bergman Spaces and Toeplitz Operators
  • 3 Geometry of Cartan Domains of Type III
  • 3.1 Symplectic and Kähler Geometry
  • 3.2 The Bergman Metric and Its Kähler Form
  • 3.3 Moment Maps
  • 4 Three Abelian Biholomorphism Groups and Their Moment Maps
  • 4.1 Elliptic, Hyperbolic, and Parabolic Actions
  • 4.2 Moment Maps of the Abelian Actions
  • 4.2.1 Moment Map of the Abelian Elliptic Action
  • 4.2.2 Moment Map of the Abelian Hyperbolic Action
  • 4.2.3 Moment Map of the Parabolic Action
  • 5 Toeplitz Operators with Special Symbols
  • 5.1 Invariant Symbols
  • 5.2 Moment Map Symbols
  • 5.3 Commuting Toeplitz Operators with Moment Maps Symbols
  • 6 Spectral Integral Formulas for Toeplitz Operator with Moment Map Symbols
  • 6.1 Toeplitz Operators with Abelian Elliptic Symbols
  • 6.2 Toeplitz Operators with Parabolic Symbols
  • References
  • 3.3 Weighted Hardy Spaces H2ω,Y(Z+d)
  • 3.3.1 Linear Systems Related to H2ω, Y(Z+d)
  • 4 Contractive Multipliers from H2U(Z+d) to H2ω,Y(Z+d) for Admissible ω
  • 4.1 Explicit Computation of Mω and Mω*
  • 4.2 Realization for Mγ
  • 5 Observability Operators and Observability gramians
  • 5.1 Operatorial Maps ω,A and (k)ω,A
  • 5.2 ω-Hypercontractions
  • 5.3 μn-Output Stability and μn-Hypercontractions
  • 5.4 The Model Shift-Operator Tuple on H2ω, Y(Z+d)
  • 6 Observability-Operator Range Spaces
  • 7 Shift-Invariant Subspaces of H2ω, Y(Z+d)
  • 7.1 Mn-Invariant Subspaces in H2μn,Y(Z+d):=An,Y(Z+d)
  • 8 H2ω, Y(Z+d)-Bergman-Inner Functions
  • 8.1 Bergman-Inner Functions as Extremal Solutions of Interpolation Problems
  • References
  • Two Aspects of Small Diameter Properties
  • 1 Introduction
  • 2 Main Results
  • References
  • Hilbert Transform in the Cartwright-de Branges Space
  • 1 Introduction
  • 2 Preliminaries
  • 3 The Cartwright-de Branges Space
  • 4 The Main Result
  • 5 Auxiliary Results and the Proof of Theorem 4.1
  • 6 Some Immediate Consequences of Theorem 4.1
  • References
  • A Note on the Dilation of a Certain Family of Tetrablock Contractions
  • 1 Introduction
  • Intro
  • Preface
  • ``Matrices, Operators, Systems and Control'' Special Session in Honour of André C. M. Ran
  • ``Operator Theory and Moment Problems'' Special Session in Honour of Jan Stochel
  • Contents
  • Weighted Hardy Spaces Over the Unit Ball: The Freely Noncommutative and Commutative Settings
  • 1 Introduction
  • 2 Multivariable Unweighted Settings
  • 2.1 The Fock-Space Setting
  • 2.2 The Drury-Arveson-Space Setting
  • 3 Weighted Hardy-Space Setting
  • 3.1 Standard Weighted Bergman Spaces
  • 3.2 Weighted Hardy-Fock Spaces
  • 3.2.1 Linear Systems Related to H2ω, Y(F+d)

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