Topics in Operator Theory

by Ball, Joseph A.; Bolotnikov, Vladimir; Helton, J. William; Rodman, Leiba; Spitkovsky, Ilya M.

• ISBN13: 9783034601573
• ISBN10: 3034601573
• Format: Hardcover
• Copyright: 2010-05-15
• Publisher: Springer Verlag

Summary

This is 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. The intended audience are mathematicians, physicists, electrical engineers in academia and industry, researchers and graduate students, that use methods of operator theory and related fields of mathematics, such as matrix theory, functional analysis, differential and difference equations, in their work.

Table of Contents

The XIXth International Workshop on Operator Theory and its Applications. I	p. ix
Speeches and Reminiscences	p. xiii
A Quantitative Estimate for Bounded Point Evaluations in Pt (¿)-spaces	p. 11
Weighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain	p. 11
Images of Minimal-vector Sequences Under Weighted Composition Operators on L2 (D)	p. 39
On Extensions of Indefinite Toeplitz-Kre&ibreve;n-Cotlar Triplets	p. 53
Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors	p. 63
Factorization Algorithm for Some Special Non-rational Matrix Functions	p. 87
Structured Primal-dual Interior-point Methods for Banded Semidefinite Programming	p. 111
A Note on Semi-Fredholm Hilbert Modules	p. 143
The S-recurrence of Schur Parameters of Non-inner Rational Schur Functions	p. 151
Curvature of Universal Bundles of Banach Algebras	p. 195
A Contractive Operator View on an Inversion Formula of Gohberg-Heinig	p. 223
A Spectral Weight Matrix for a Discrete Version of Walsh's Spider	p. 253
Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces	p. 265
Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices	p. 273
Best Constant Inequalities Involving the Analytic and Co-Analytic Projection	p. 285
Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian	p. 297
Quasidiagonal Extensions of the Reduced Group C*-algebras of Certain Discrete Groups	p. 315
Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves	p. 321
Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions	p. 337
Revisit to a Theorem of Wogen	p. 355
Survey on the Best Constants in the Theory of One-dimensional Singular Integral Operators	p. 365
Gantmacher-Krein Theorem for 2-totally Nonnegative Operators in Ideal Spaces	p. 395
Conditions for Linear Dependence of Two Operators	p. 411
Matrix Inequalities and Twisted Inner Products	p. 435
The Spectrum of a Composition Operator and Calderón's Complex Interpolation	p. 451
Almost Periodic Factorization of 2 x 2 Triangular Matrix Functions: New Cases of Off Diagonal Spectrum	p. 469
Infinite Hankel Block Matrices, Extremal Problems	p. 489
On Compactness of Operators in Variable Exponent Lebesgue Spaces	p. 497
Extension to an Invertible Matrix in Convolution Algebras of Measures Supported in [0, +∞)	p. 509
The Invariant Subspace Problem via Composition Operators-redux	p. 519
On Norms of Completely Positive Maps	p. 535
Some Exponential Inequalities for Semisimple Lie Groups	p. 539
Parabolic Quasi-radial Quasi-homogeneous Symbols and Commutative Algebras of Toeplitz Operators	p. 553
Algebraic Aspects of the Paving and Feichtinger Conjectures	p. 569
Dominating the Commutator	p. 579
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