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1 Report

Perturbation of Operators and Applications to Frame Theory

Christensen, Ole; Casazza, P.

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

Year: 1996

Language: English

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kngd lcopimf h ebja
2 Printed book

Perturbation of operators and applications to frame theory

Cazassa, P.G.; Christensen, O.; Technical University of Denmark; DTU

Year: 1996

Language: English

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c nbgdk amiojflhep
3 Journal article

Perturbation of Operators and Applications to Frame Theory

Christensen, Ole; Casazza, P.

Journal of Fourier Analysis and Applications — 1997, Volume 3, Issue 5, pp. 543-557

A celebrated classical result states that an operator U on a Banach space is invertible if it is close enough to the identity operator I in the sense that ||I - U|| < 1. Here Mle show that U actually is invertible under a much weaker condition. As an application we prove new theorems concerning stability of frames (and frame-like decompositions) under perturbation in both Hilbert spaces and Banach spaces.

Year: 1997

Language: English

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im k efh apgocnbldj

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