A note on perturbations of fusion frames
In this work, we consider some relationships between a closed range operator T and a fusion frame W=(Wi,wi)i∈I for a Hilbert space H that provides that the sequence (T(Wi)‾,vi)i∈I is a fusion frame sequence for H, if we consider a suitable family of weights {vi}i∈I. This (sufficient) condition gener...
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| Autores principales: | , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/98700 https://ri.conicet.gov.ar/11336/87433 https://arxiv.org/abs/1709.06872 |
| Aporte de: |
| Sumario: | In this work, we consider some relationships between a closed range operator T and a fusion frame W=(Wi,wi)i∈I for a Hilbert space H that provides that the sequence (T(Wi)‾,vi)i∈I is a fusion frame sequence for H, if we consider a suitable family of weights {vi}i∈I. This (sufficient) condition generalizes some previous work in the subject. |
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