Ball, J. A. et al. ed.
Topics in Operator Theory Vol.1
Operators, Matrices and Analytic functions
Birkhauser 2010.3
640 pp.(H)
ISBN 3-0346-0157-3
25,400円
Contents
1. A Quantitative Estimate for Bounded Point Evaluations in Pt (μ)-spaces/ 2. Weighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain/ 3. Images of Minimal-vector Sequences Under Weighted Composition Operators on L2(D)/ 4. On Extensions of Indefinite Toeplitz-Krein-Cotlar Triplets/ 5. Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors/ 6. Factorization Algorithm for Some Special Non-rational Matrix Functions/ 7. Structured Primal-dual Interior-point Methods for Banded Semidefinite Programming/ 8. A Note on Semi-Fredholm Hilbert Modules/ 9. The S-recurrence of Schur Parameters of Non-inner Rational Schur Functions/ 10. Curvature of Universal Bundles of Banach Algebras/ 11. A Contractive Operator View on an Inversion Formula of Gohberg-Heinig/ 12. A Spectral Weight Matrix for a Discrete Version of Walsh's Spider/ 13. Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces/ 14. Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices/ 15. Best Constant Inequalities Involving the Analytic and Co-Analytic Projection/ 16. Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian/ 17. Quasidiagonal Extensions of the Reduced Group C*-algebras of Certain Discrete Groups/ 18. Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves/ 19. Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions/ 20. Revisit to a Theorem of Wogen/ 21. Survey on the Best Constants in the Theory of One-dimensional Singular Integral Operators/ 22. Gantmacher―Krein Theorem for 2-totally Nonnegative Operators in Ideal Spaces/ 23. Conditions for Linear Dependence of Two Operators/ 24. Matrix Inequalities and Twisted Inner Products/ 25. The Spectrum of a Composition Operator and Calderon's Complex Interpolation/ 26. Almost Periodic Factorization of 2×2 Triangular Matrix Functions: New Cases of Off Diagonal Spectrum/ 27. Infinite Hankel Block Matrices, Extremal Problems/ 28. On Compactness of Operators in Variable Exponent Lebesgue Spaces/ 29. Extension to an Invertible Matrix in Convolution Algebras of Measures Supported in [0,+∞/ 30. The Invariant Subspace Problem via Composition Operators-redux/ 31. On Norms of Completely Positive Maps/ 32. Some Exponential Inequalities for Semisimple Lie Groups/ 33. Parabolic Quasi-radial Quasi-homogeneous Symbols and Commutative Algebras of Toeplitz Operators/ 34. Algebraic Aspects of the Paving and Feichtinger Conjectures/ 35. Dominating the Commutator/ Index/
* 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. *
Gonzalez, M. & Martinez-Abejon, A.
Tauberian Operators
Birkhauser 2009.12
260 pp.(H)
ISBN 3-7643-8997-4
14,400円
Contents
1. The origins of tauberian operators/ 2. Tauberian operators. Basic properties/ 3. Duality and examples of tauberian operators/ 4. Tauberian operators on spaces of integrable functions/ 5. Some applications/ 6. Tauberian-like classes of operators/ A: Basic concepts/ Bibliography/ Index/
* This book gives a complete exposition of the theory of tauberian operators from the very basic results to the most recent advances making emphasis in its applications to Banach space theory. After describing the origins of the subject in the study of summability of series, it presents the general theory for tauberian operators on abstract Banach spaces. * The main sources of examples of tauberian operators are described in detail, including the case of operators on spaces of integrable functions. *
Grobler, J. J. et al. ed.
Operator Algebras, Operator Theory and Applications
作用素代数、作用素理論、および応用
Birkhauser 2009.11
308 pp.(H)
ISBN 3-0346-0173-5
20,800円
18th International Workshop on Operator Theory and Applications, Potchefstroom, July 2007
Contents
1. Multivariable Operator-valued Nevanlinna-Pick Interpolation: a Survey/ 2. On the Unit Ball of Operator-valued H2-functions/ 3. On an Interpolation Problem for Generalized Schur Functions/ 4. The Algebra of т-measurable Operators/ 5. Holomorphic NK and Bergman-type Spaces/ 6. A Time-variant Norm Constrained Interpolation Problem Arising from Relaxed Commutant Lifting/ 7. Nowhere Density of the Set of Non-norm-attaining Functionals/ 8. A Stochastic Double Product in Non-Fock Quantum Stochastic Calculus/ 9. Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights/ 10. Reverse Martingales in Riesz Spaces/ 11.Contractivity of the H∞-calculus and Blaschke Products/ 12. Invertibility in the Algebra of т-measurable Operators/ 13. Analyticity of Semigroups Related to a Class of Block Operator Matrices/ 14. Derivations of т-measurable Operators/ 15. On Hyperinvariant Subspaces for Linear Maps of Real Vector Spaces/ 16. List of Participants: IWOTA 2007/ Index/ *
Behrndt, J. et al. ed.
Recent Advances in Operator Theory in Hilbert and Krein Spaces
Birkhauser 2009.12
324 pp.(H)
ISBN 3-0346-0179-4
19,800円
Contents
1. Local Scattering Problem and a Solvable Model of Quantum Network/ 2. Quadratic (Weakly) Hyperbolic Matrix Polynomials: Direct and Inverse Spectral Problems/ 3. A Theorem on Existence of Invariant Subspaces for J-binoncontractive Operators/ 4. Moment Problems for Real Measures on the Unit Circle/ 5. Finite Rank Perturbations, Scattering Matrices and Inverse Problems/ 6. Conditions for an Indefinite Sturm-Liouville Riesz Basis Property/ 7. Convergence of Diagonal Pade Approximants for a Class of Definitizable Functions/ 8. Approximation of Иκ∞ -functions II: Convergence of Models/ 9. Nonnegative Extensions via Embeddings/ 10. Fredholm Properties of Unbounded Operators on Interpolation Spaces/ 11. Domain and Range Descriptions for Adjoint Relations, and Parallel Sums and Differences of Forms/ 12. The Konigs Problem and Extreme Fixed Points/ 13. Bisectors, Isometries and Connected Components in Hilbert Spaces/ 14. On Norms in Indefinite Inner Product Spaces/ 15. Interpolation of Sobolev Spaces and Indefinite Elliptic Spectral Problems/ 16. On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane/ 17. Note on Interlacing for Hyperbolic Quadratic Pencils/ Index/ *
Palmer, T. W.
Banach Algebras and the General Theory of *-Algebras, Vol.1
Algebras and Banach Algebras
Cambridge University Press 2009.12
812 pp.(P) * Now in paper edition
ISBN 0-521-12410-7
8,700円
Contents
1. Introduction to normed algebras: examples/ 2. The spectrum/ 3. Commutative algebras and functional calculus/ 4. Ideals, representations and radicals/ 5. Approximate identities and factorisation/ 6. Automatic continuity/ 7. Structure spaces/ 8. Algebras with minimal ideals/ Bibliography/ Index/
* This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach -algebras. This account emphasizes the role of -algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and -algebras. *
862-16 登録日 10.04.21
