Perturbation of frames in Banach spaces (Q2911879)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Perturbation of frames in Banach spaces |
scientific article; zbMATH DE number 6075886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation of frames in Banach spaces |
scientific article; zbMATH DE number 6075886 |
Statements
3 September 2012
0 references
perturbation
0 references
Banach frame
0 references
atomic decomposition
0 references
\(X_d\)--Riesz basis
0 references
\(X_d\)--frame
0 references
\(X_d\)--Bessel sequence
0 references
Hilbert frame
0 references
0 references
0 references
0 references
0 references
0.9344529
0 references
0 references
Perturbation of frames in Banach spaces (English)
0 references
Let \(X_d\) be a Banach space of scalar sequences. The author defines the concepts of \(X_d\)--Riesz basis, \(X_d\)--frame and \(X_d\)--Bessel sequence and studies their perturbation properties. She determines stability conditions with sharp bounds and discusses the necessity of some of them. She also investigates the equivalence between several perturbation conditions and, in particular, obtains a result for tight frames in Hilbert spaces.
0 references
