Continuite lipschitzienne du spectre comme fonction d'un opérateur ...

Abstract; The authors prove that the spectrum of & normal operator on a Hilbert space, as a set-valued func tion, is lipschitzian in the Hausdorff metric. As an appli cation, a localization theorem for eigenvalues of normal matrices is given. Key words: Normal operator, spectrum, continuity of the spectrum. AMS: Primary 47A10 ...


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