Title | Linear Operators and Matrices [electronic resource] : The Peter Lancaster Anniversary Volume / edited by I. Gohberg, H. Langer |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2002 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8181-4 |
Descript | VIII, 281 p. online resource |
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 -- Youngโs 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