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Linear Operators and Matrices

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Cover of 'Linear Operators and Matrices'

Table of Contents

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    Book Overview
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    Chapter 1 My Life and Mathematics
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    Chapter 2 List of Publications of Peter Lancaster
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    Chapter 3 Forty-four Years with Peter Lancaster
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    Chapter 4 Peter Lancaster, my Friend and Co-author
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    Chapter 5 The Joint Numerical Range of Bordered and Tridiagonal Matrices
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    Chapter 6 Iterative Computation of Higher Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors
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    Chapter 7 Colligations in Pontryagin Spaces with a Symmetric Characteristic Function
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    Chapter 8 Logarithmic Residues of Fredholm Operator Valued Functions and Sums of Finite Rank Projections
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    Chapter 9 Positive Linear Maps and the Lyapunov Equation
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    Chapter 10 Full- and Partial-Range Completeness
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    Chapter 11 Spectral Isomorphisms between Generalized Sturm-Liouville Problems
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    Chapter 12 Existence and Uniqueness Results for Nonlinear Cooperative Systems
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    Chapter 13 Young’s Inequality in Compact Operators
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    Chapter 14 Partial Indices of Small Perturbations of a Degenerate Continuous Matrix Function
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    Chapter 15 Finite Section Method for Difference Equations
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    Chapter 16 Iterative Solution of a Matrix Riccati Equation Arising in Stochastic Control
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    Chapter 17 Lyapunov Functions and Solutions of the Lyapunov Matrix Equation for Marginally Stable Systems
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    Chapter 18 Invariant Subspaces of Infinite Dimensional Hamiltonians and Solutions of the Corresponding Riccati Equations
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    Chapter 19 Inertia Bounds for Operator Polynomials
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    Chapter 20 A Note on the Level Sets of a Matrix Polynomial and Its Numerical Range
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