Topics in Operator Theory

1. Front Matter

   Pages i-xxxviii

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2. A Quantitative Estimate for Bounded Point Evaluations in Pt(μ)-spaces

   • Alexandru Aleman, Stefan Richter, Carl Sundberg

   Pages 1-10

3. WEighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain

   • Robert F. Allen, Flavia Colonna

   Pages 11-37

4. Images of Minimal-Vector Sequences Under Weighted Composition Operators on L²(\( \mathbb{D} \))

   • Paul S. Bourdon, Antoine Flattot

   Pages 39-51

5. On Extensions of Indefinite Toeplitz-Kreįn-Cotlar triplets

   • Ramón Bruzual, Marisela Domínguez

   Pages 53-61

6. Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors

   • Isabelle Chalendar, Elodie Pozzi, Jonathan R. Partington

   Pages 63-85

7. Factorization Algorithm for Some Special Non-rational Matrix Functions

   • Ana C. Conceição, Viktor G. Kravchenko, José C. Pereira

   Pages 87-109

8. Structured Primal-dual Interior-point Methods for Banded Semidefinite Programming

   • Zhiming Deng, Ming Gu, Michael L. Overton

   Pages 111-141

9. A Note on Semi-Fredholm Hilbert Modules

   • Ronald G. Douglas, Jaydeb Sarkar

   Pages 143-150

10. The S-recurrence of Schur Parameters of Non-inner Rational Schur Functions

    • Vladimir K. Dubovoy, Bernd Fritzsche, Bernd Kirstein

    Pages 151-194

11. Curvature of Universal Bundles of Banach Algebras

    • Maurice J. Dupré, James F. Glazebrook, Emma Previato

    Pages 195-222

12. A Contractive Operator View on an Inversion Formula of Gohberg-Heinig

    • A. E. Frazho, M. A. Kaashoek

    Pages 223-252

13. A Spectral Weight Matrix for a Discrete Version of Walsh’s Spider

    • F. Alberto Grünbaum

    Pages 253-264

14. Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces

    • Christopher Hammond, Linda J. Patton

    Pages 265-272

15. Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices

    • John Holbrook, Jean-Pierre Schoch

    Pages 273-284

16. Best Constant Inequalities Involving the Analytic and Co-Analytic Projection

    • Brian Hollenbeck, Igor E. Verbitsky

    Pages 285-295

17. Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian

    • M. A. Kaashoek, L. Lerer

    Pages 297-314

18. Quasidiagonal Extensions of the Reduced Group C*-algebras of Certain Discrete Groups

    • Alexander Kaplan, Steen Pedersen

    Pages 315-319

19. Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves

    • Alexei Yu. Karlovich

    Pages 321-336

20. Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions

    • Yuri I. Karlovich, Ilya M. Spitkovsky

    Pages 337-354

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

• Operator theory
• Singular integral
• complex analysis
• convolution
• functional analysis
• integral equations
• mathematics
• matrix theory

• Department of Mathematics, Virginia Tech, Blacksburg, USA

  Joseph A. Ball

• Department of Mathematics, College of William and Mary, Williamsburg, USA

  Vladimir Bolotnikov, Leiba Rodman, Ilya M. Spitkovsky

• Department of Mathematics, University of California San Diego, La Jolla

  J. William Helton

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