Linear Operators and Matrices: The Peter Lancaster Anniversary Volume (Operator Theory: Advances and Applications)

ISBN 10: 3764366559 / ISBN 13: 9783764366551

Verlag: Birkhäuser Basel, 2002

Beschreibung

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Bibliografische Details

• Titel: Linear Operators and Matrices: The Peter Lancaster Anniversary Volume (Operator Theory: Advances and Applications)
• Verlag: Birkhäuser Basel
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 3764366559
• ISBN-13: 9783764366551
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

My Life and Mathematics.- List of Publications of Peter Lancaster.- Forty-four Years with Peter Lancaster.- Peter Lancaster, my Friend and Co-author.- The Joint Numerical Range of Bordered and Tridiagonal Matrices.- Iterative Computation of Higher Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors.- Colligations in Pontryagin Spaces with a Symmetric Characteristic Function.- Logarithmic Residues of Fredholm Operator Valued Functions and Sums of Finite Rank Projections.- Positive Linear Maps and the Lyapunov Equation.- Full-and Partial-Range Completeness.- Spectral Isomorphisms between Generalized Sturm-Liouville Problems.- Existence and Uniqueness Results for Nonlinear Cooperative Systems.- Young's Inequality in Compact Operators.- Partial Indices of Small Perturbations of a Degenerate Continuous Matrix Function.- Finite Section Method for Difference Equations.- Iterative Solution of a Matrix Riccati Equation Arising in Stochastic Control.- Lyapunov Functions and Solutions of the Lyapunov Matrix Equation for Marginally Stable Systems.- Invariant Subspaces of Infinite Dimensional Hamiltonians and Solutions of the Corresponding Riccati Equations.- Inertia Bounds for Operator Polynomials.- A Note on the Level Sets of a Matrix Polynomial and its Numerical Range.

Reseña del editor

This volume is dedicated to Peter Lancaster, an outstanding expert in operator and matrix theory, numerical analysis and applications, on the occasion of his seventieth birthday. The book contains a selection of recent original research papers in linear algebra and analysis, areas in which Peter Lancaster was very active. The articles are complemented by biographical data and a list of publications. The book is of interest to a wide range of readers in pure and applied mathematics.