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.
Author(s): A. N. Akhmetova, L. A. Aksentyev (auth.), Wolfgang Arendt, Joseph A. Ball, Jussi Behrndt, Karl-Heinz Förster, Volker Mehrmann, Carsten Trunk (eds.)
Series: Operator Theory: Advances and Applications 221
Edition: 1
Publisher: Birkhäuser Basel
Year: 2012
Language: English
Pages: 694
Tags: Operator Theory; Functional Analysis
Front Matter....Pages i-ix
About the Gradient of the Conformal Radius....Pages 1-10
The Influence of the Tunnel Effect on L ∞ -time Decay....Pages 11-24
Some Classes of Operators on Partial Inner Product Spaces....Pages 25-46
From Forms to Semigroups....Pages 47-69
Accretive (*)-extensions and Realization Problems....Pages 71-108
The Dynamical Problem for a Non Self-adjoint Hamiltonian....Pages 109-119
Extension of the ν -metric: the H ∞ Case....Pages 121-130
Families of Homomorphisms in Non-commutative Gelfand Theory: Comparisons and Examples....Pages 131-159
Operator Splitting with Spatial-temporal Discretization....Pages 161-171
On a Theorem of Karhunen and Related Moment Problems and Quadrature Formulae....Pages 173-187
Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices....Pages 189-217
Algebraic Reflexivity and Local Linear Dependence: Generic Aspects....Pages 219-239
An Invitation to the S -functional Calculus....Pages 241-254
Necessity of Parameter-ellipticity for Multi-order Systems of Differential Equations....Pages 255-268
Canonical Eigenvalue Distribution of Multilevel Block Toeplitz Sequences with Non-Hermitian Symbols....Pages 269-291
Curvature Invariant and Generalized Canonical Operator Models – I....Pages 293-304
About Compressible Viscous Fluid Flow in a 2-dimensional Exterior Domain....Pages 305-321
On Canonical Solutions of a Moment Problem for Rational Matrix-valued Functions....Pages 323-372
Maximal L p -regularity for a 2D Fluid-Solid Interaction Problem....Pages 373-384
Transfer Functions for Pairs of Wandering Subspaces....Pages 385-398
Non-negativity Analysis for Exponential-Polynomial-Trigonometric Functions on [0,∞)....Pages 399-412
Compactness of the $$\bar{\partial}$$ -Neumann Operator on Weighted (0, q )-forms....Pages 413-420
Dislocation Problems for Periodic Schrödinger Operators and Mathematical Aspects of Small Angle Grain Boundaries....Pages 421-432
The Riemann Boundary Value Problem on Non-rectifiable Arcs and the Cauchy Transform....Pages 433-441
Decay Estimates for Fourier Transforms of Densities Defined on Surfaces with Biplanar Singularities....Pages 443-451
Schatten-von Neumann Estimates for Resolvent Differences of Robin Laplacians on a Half-space....Pages 453-468
Smoothness of Hill’s Potential and Lengths of Spectral Gaps....Pages 469-479
A Frucht Theorem for Quantum Graphs....Pages 481-490
Note on Characterizations of the Harmonic Bergman Space....Pages 491-496
On Some Boundary Value Problems for the Helmholtz Equation in a Cone of 240º....Pages 497-513
The Infinite-dimensional Sylvester Differential Equation and Periodic Output Regulation....Pages 515-531
A Class of Evolutionary Problems with an Application to Acoustic Waves with Impedance Type Boundary Conditions....Pages 533-548
Maximal Semidefinite Invariant Subspaces for J -dissipative Operators....Pages 549-570
The Riemann–Hilbert Boundary Value Problem with a Countable Set of Coefficient Discontinuities and Two-side Curling at Infinity of the Order Less Than 1/2....Pages 571-585
Galerkin Method with Graded Meshes for Wiener-Hopf Operators with PC Symbols in L p Spaces....Pages 587-605
On the Spectrum of Some Class of Jacobi Operators in a Krein Space....Pages 607-616
Holomorphy in Multicomplex Spaces....Pages 617-634
On Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary Conditions....Pages 635-651
On the Well-posedness of Evolutionary Equations on Infinite Graphs....Pages 653-666
Reparametrizations of Non Trace-normed Hamiltonians....Pages 667-690