The present volume is the first of two volumes containing 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 focus in this volume is on operator theory, linear algebra, and analytic functions. Further, a commemorative article of speeches and reminiscences dedicated to Israel Gohberg is presented.
Author(s): Joseph A. Ball, Vladimir Bolotnikov, Leiba Rodman, J. William Helton, Ilya M. Spitkovsky (auth.)
Series: Operator Theory: Advances and Applications 202
Edition: 1
Publisher: Birkhäuser Basel
Year: 2010
Language: English
Pages: 600
Tags: Operator Theory
Front Matter....Pages i-xxxviii
A Quantitative Estimate for Bounded Point Evaluations in P t (μ)-spaces....Pages 1-10
WEighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain....Pages 11-37
On Extensions of Indefinite Toeplitz-Kreįn-Cotlar triplets....Pages 39-51
Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors....Pages 53-61
Factorization Algorithm for Some Special Non-rational Matrix Functions....Pages 63-85
Structured Primal-dual Interior-point Methods for Banded Semidefinite Programming....Pages 87-109
A Note on Semi-Fredholm Hilbert Modules....Pages 111-141
The S -recurrence of Schur Parameters of Non-inner Rational Schur Functions....Pages 143-150
Curvature of Universal Bundles of Banach Algebras....Pages 151-194
A Contractive Operator View on an Inversion Formula of Gohberg-Heinig....Pages 195-222
A Spectral Weight Matrix for a Discrete Version of Walsh’s Spider....Pages 223-252
Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces....Pages 253-264
Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices....Pages 265-272
Best Constant Inequalities Involving the Analytic and Co-Analytic Projection....Pages 273-284
Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian....Pages 285-295
Quasidiagonal Extensions of the Reduced Group C * -algebras of Certain Discrete Groups....Pages 297-314
Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves....Pages 315-319
Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions....Pages 321-336
Revisit to a Theorem of Wogen....Pages 337-354
Survey on the Best Constants in the Theory of One-dimensional Singular Integral Operators....Pages 355-363
Gantmacher-Krein Theorem for 2-totally Nonnegative Operators in Ideal Spaces....Pages 365-393
Conditions for Linear Dependence of Two Operators....Pages 395-410
Matrix Inequalities and Twisted Inner Products....Pages 411-434
The Spectrum of a Composition Operator and Calderón’s Complex Interpolation....Pages 435-450
Almost Periodic Factorization of 2 × 2 Triangular Matrix Functions: New Cases of Off Diagonal Spectrum....Pages 451-467
Infinite Hankel Block Matrices, Extremal Problems....Pages 469-487
On Compactness of Operators in Variable Exponent Lebesgue Spaces....Pages 489-495
Extension to an Invertible Matrix in Convolution Algebras of Measures Supported in [0,+∞)....Pages 497-508
The Invariant Subspace Problem via Composition Operators-redux....Pages 509-518
On Norms of Completely Positive Maps....Pages 519-534
Some Exponential Inequalities for Semisimple Lie Groups....Pages 535-538
Parabolic Quasi-radial Quasi-homogeneous Symbols and Commutative Algebras of Toeplitz Operators....Pages 539-552
Algebraic Aspects of the Paving and Feichtinger Conjectures....Pages 553-568
Dominating the Commutator....Pages 569-578
....Pages 579-600
