Frames for operators

Frames in Hilbert spaces are a redundant set of vectors which yield a representation for each vector in the space. In the present paper, we give a generalization of frames, which allows, in a stable way, to reconstruct elements from the range of a linear and bounded operator in a Hilbert space.

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Bibliographic Details
Published inApplied and computational harmonic analysis Vol. 32; no. 1; pp. 139 - 144
Main Author Gavruta, Laura
Format Journal Article
LanguageEnglish
Published Elsevier Inc 2012
Subjects
Atomic systems
Fourier analysis
Frames
Hilbert space
K-frames
Mathematical analysis
Operators
Redundant
Representations
Vectors (mathematics)
Atomic systems
Frames
K-frames
Online AccessGet full text
ISSN1063-5203
1096-603X
DOI10.1016/j.acha.2011.07.006

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Summary:Frames in Hilbert spaces are a redundant set of vectors which yield a representation for each vector in the space. In the present paper, we give a generalization of frames, which allows, in a stable way, to reconstruct elements from the range of a linear and bounded operator in a Hilbert space.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1063-5203
1096-603X
DOI:10.1016/j.acha.2011.07.006