Weighted projections and Riesz frames

Let H be a (separable) Hilbert space and {ek}k≥1 a fixed orthonormal basis of H. Motivated by many papers on scaled projections, angles of subspaces and oblique projections, we define and study the notion of compatibility between a subspace and the abelian algebra of diagonal operators in the given...

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Autores principales: Antezana, Jorge Abel, Corach, Gustavo, Ruiz, Mariano Andrés, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Matemática
Angles
Compatibility
Frames
Riesz frames
Scaled projection
Weighted projection
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83290
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83290
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Angles
Compatibility
Frames
Riesz frames
Scaled projection
Weighted projection
spellingShingle Matemática
Angles
Compatibility
Frames
Riesz frames
Scaled projection
Weighted projection
Antezana, Jorge Abel
Corach, Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
Weighted projections and Riesz frames
topic_facet Matemática
Angles
Compatibility
Frames
Riesz frames
Scaled projection
Weighted projection
description Let H be a (separable) Hilbert space and {ek}k≥1 a fixed orthonormal basis of H. Motivated by many papers on scaled projections, angles of subspaces and oblique projections, we define and study the notion of compatibility between a subspace and the abelian algebra of diagonal operators in the given basis. This is used to refine previous work on scaled projections, and to obtain a new characterization of Riesz frames.
format Articulo
Articulo
author Antezana, Jorge Abel
Corach, Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_facet Antezana, Jorge Abel
Corach, Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_sort Antezana, Jorge Abel
title Weighted projections and Riesz frames
title_short Weighted projections and Riesz frames
title_full Weighted projections and Riesz frames
title_fullStr Weighted projections and Riesz frames
title_full_unstemmed Weighted projections and Riesz frames
title_sort weighted projections and riesz frames
publishDate 2005
url http://sedici.unlp.edu.ar/handle/10915/83290
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