The Stability Radius of Fredholm Linear Pencils
Copyright policy )The Stability Radius of Fredholm Linear Pencils
Let \(T\) and \(S\) be two bounded linear operators from Banach spaces \(X\) into \(Y\), and suppose that \(T\) is Fredholm and \(\dim N(T-\lambda S)\) is constant in a neighborhood of \(\lambda=0\). Let \(d(T;S)\) be the supremum of all \(r>0\) such that \(\dim N(T-\lambda S)\) and \(codim R(T-\lambda S)\) are constant for all \(\lambda\) with \(|\lambda|
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Banach space, Perturbation theory of linear operators, generalized inverses, Applied Mathematics, stability radius, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Fredholm linear pencils, spectral radii, Numerical range, numerical radius, reduced minimum modulus, (Semi-) Fredholm operators; index theories, resolvent identity, Analysis
Banach space, Perturbation theory of linear operators, generalized inverses, Applied Mathematics, stability radius, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Fredholm linear pencils, spectral radii, Numerical range, numerical radius, reduced minimum modulus, (Semi-) Fredholm operators; index theories, resolvent identity, Analysis
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