Perturbation of Operators and Applications to Frame Theory

Ole Christensen, P. Casazza

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    A celebrated classical result states that an operator Uon a Banach space is invertible, if it is close enough to the identityoperator I. Here we showthat U actually is invertible under a much weaker condition. As anapplication we prove new theorems concerning stability of frames (andframe-like decompositions) under perturbation in both Hilbert spacesand Banach spaces.
    Original languageEnglish
    Number of pages22
    Publication statusPublished - 1996

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