Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

1. Front Matter

   Pages i-ix

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2. About the Gradient of the Conformal Radius

   • A. N. Akhmetova, L. A. Aksentyev

   Pages 1-10

3. The Influence of the Tunnel Effect on L ^∞-time Decay

   • F. Ali Mehmeti, R. Haller-Dintelmann, V. Régnier

   Pages 11-24

4. Some Classes of Operators on Partial Inner Product Spaces

   • Jean-Pierre Antoine, Camillo Trapani

   Pages 25-46

5. From Forms to Semigroups

   • Wolfgang Arendt, A. F. M. ter Elst

   Pages 47-69

6. Accretive (*)-extensions and Realization Problems

   • Yury Arlinskiĭ, Sergey Belyi, Eduard Tsekanovskiĭ

   Pages 71-108

7. The Dynamical Problem for a Non Self-adjoint Hamiltonian

   • Fabio Bagarello, Miloslav Znojil

   Pages 109-119

8. Extension of the ν-metric: the H ^∞ Case

   • Joseph A. Ball, Amol J. Sasane

   Pages 121-130

9. Families of Homomorphisms in Non-commutative Gelfand Theory: Comparisons and Examples

   • Harm Bart, Torsten Ehrhardt, Bernd Silbermann

   Pages 131-159

10. Operator Splitting with Spatial-temporal Discretization

    • András Bátkai, Petra Csomós, Bálint Farkas, Gregor Nickel

    Pages 161-171

11. On a Theorem of Karhunen and Related Moment Problems and Quadrature Formulae

    • Georg Berschneider, Zoltán Sasvári

    Pages 173-187

12. Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices

    • Anne Boutet de Monvel, Lech Zielinski

    Pages 189-217

13. Algebraic Reflexivity and Local Linear Dependence: Generic Aspects

    • Nir Cohen

    Pages 219-239

14. An Invitation to the S-functional Calculus

    • Fabrizio Colombo, Irene Sabadini

    Pages 241-254

15. Necessity of Parameter-ellipticity for Multi-order Systems of Differential Equations

    • R. Denk, M. Faierman

    Pages 255-268

16. Canonical Eigenvalue Distribution of Multilevel Block Toeplitz Sequences with Non-Hermitian Symbols

    • Marco Donatelli, Maya Neytcheva, Stefano Serra-Capizzano

    Pages 269-291

17. Curvature Invariant and Generalized Canonical Operator Models – I

    • Ronald G. Douglas, Yun-Su Kim, Hyun-Kyoung Kwon, Jaydeb Sarkar

    Pages 293-304

18. About Compressible Viscous Fluid Flow in a 2-dimensional Exterior Domain

    • Yuko Enomoto, Yoshihiro Shibata

    Pages 305-321

19. On Canonical Solutions of a Moment Problem for Rational Matrix-valued Functions

    • Bernd Fritzsche, Bernd Kirstein, Andreas Lasarow

    Pages 323-372

20. Maximal L ^p-regularity for a 2D Fluid-Solid Interaction Problem

    • Karoline Götze

    Pages 373-384

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.

• differential and difference operators
• evolution equations and semigroups
• function spaces
• mathematical system theory
• spectral theory

• , Abt. Mathematik V, Universität Ulm, Ulm, Germany

  Wolfgang Arendt

• Department of Mathematics, Virginia Polytechnic Institute, Blacksburg, USA

  Joseph A. Ball

• Institut für Mathematik, AG Modellierung, Numerik und, TU Berlin, Berlin, Germany

  Jussi Behrndt

• Fak. II Mathematik & Naturwissenschaften, Institut für Mathematik, TU Berlin, Berlin, Germany

  Karl-Heinz Förster, Volker Mehrmann

• , Institut für Mathematik, TU Ilmenau, Ilmenau, Germany

  Carsten Trunk

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