The Extended Field of Operator Theory

1. Front Matter

   Pages i-xxv

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2. Inverse Scattering to Determine the Shape of a Vocal Tract

   • Tuncay Aktosun

   Pages 1-16

3. Positivity and the Existence of Unitary Dilations of Commuting Contractions

   • J. Robert Archer

   Pages 17-35

4. The Infinite-dimensional Continuous Time Kalman-Yakubovich-Popov Inequality

   • Damir Z. Arov, Olof J. Staffans

   Pages 37-72

5. From Toeplitz Eigenvalues through Green’s Kernels to Higher-order Wirtinger-Sobolev Inequalities

   • Albrecht Böttcher, Harold Widom

   Pages 73-87

6. The Method of Minimal Vectors Applied to Weighted Composition Operators

   • Isabelle Chalendar, Antoine Flattot, Jonathan R. Partington

   Pages 89-105

7. The Continuous Analogue of the Resultant and Related Convolution Operators

   • Israel Gohberg, Marinus A. Kaashoek, Leonid Lerer

   Pages 107-127

8. Split Algorithms for Centrosymmetric Toeplitz-plus-Hankel Matrices with Arbitrary Rank Profile

   • Georg Heinig, Karla Rost

   Pages 129-146

9. Schmidt-Representation of Difference Quotient Operators

   • Michael Kaltenbäck, Harald Woracek

   Pages 147-170

10. Algebras of Singular Integral Operators with Piecewise Continuous Coefficients on Weighted Nakano Spaces

    • Alexei Yu. Karlovich

    Pages 171-188

11. Pseudodifferential Operators with Compound Slowly Oscillating Symbols

    • Yuri I. Karlovich

    Pages 189-224

12. Extension of Operator Lipschitz and Commutator Bounded Functions

    • Edward Kissin, Victor S. Shulman, Lyudmila B. Turowska

    Pages 225-244

13. On the Kernel of Some One-dimensional Singular Integral Operators with Shift

    • Viktor G. Kravchenko, Rui C. Marreiros

    Pages 245-257

14. The Fredholm Property of Pseudodifferential Operators with Non-smooth Symbols on Modulation Spaces

    • Vladimir S. Rabinovich, Steffen Roch

    Pages 259-280

15. On Indefinite Cases of Operator Identities Which Arise in Interpolation Theory

    • James Rovnyak, Lev A. Sakhnovich

    Pages 281-322

16. Singular Integral Operators in Weighted Spaces of Continuous Functions with Oscillating Continuity Moduli and Oscillating Weights

    • Natasha Samko

    Pages 323-347

17. Poly-Bergman Spaces and Two-dimensional Singular Integral Operators

    • Nikolai Vasilevski

    Pages 349-359

18. Weak Mixing Properties of Vector Sequences

    • László Zsidó

    Pages 361-388

As this volume demonstrates, at roughly 100 years of age operator theory remains a vibrant and exciting subject area with wide ranging applications. Many of the th papers found here expandon lectures givenat the 15 International Workshop on Operator Theory and Its Applications, held at the University of Newcastle upon th th Tyne from the 12 to the 16 of July 2004. The workshop was attended by close to 150 mathematicians from throughout the world, and is the ?rst IWOTA to be held in the UK. Talks ranged over such subjects as operator spaces and their - plications, invariant subspaces, Kre? ?n space operator theory and its applications, multivariate operator theory and operator model theory, applications of operator theory to function theory, systems theory including inverse scattering, structured matrices, and spectral theory of non-selfadjoint operators, including pseudodi?- ential and singular integral operators. These interests are re?ected in this volume. As with all of the IWOTA proceedings published by Birkh¨ auser Verlag, the - pers presented here have been refereed to the same high standards as those of the journal Integral Equations and Operator Theory. BANACH C* ALGEBRAS H CONTROL HILBERT KREIN OPERATOR THEORY INTERPOLATION VON NEUMANN A few words about the above image which graced the workshop programme and bag. In commuting between home in Hexham and work in Newcastle, I often x Editorial Preface travel by train.

• Eigenvalue
• Operator theory
• convolution
• functional analysis
• minimum

• School of Mathematics and Statistics, University of Newcastle, Newcastle upon Tyne, UK

  Michael A. Dritschel

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