Projections in operator ranges

If H is a Hilbert space, A is a positive bounded linear operator on H and S is a closed subspace of H, the relative position between S and A-1 (S⊥) establishes a notion of compatibility. We show that the compatibility of (A, S) is equivalent to the existence of a convenient orthogonal projection in...

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Autores principales: Corach, Gustavo, Maestripieri, Alejandra, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Matemática
Oblique projections
Operator ranges
Positive operators
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83108
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83108
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Oblique projections
Operator ranges
Positive operators
spellingShingle Matemática
Oblique projections
Operator ranges
Positive operators
Corach, Gustavo
Maestripieri, Alejandra
Stojanoff, Demetrio
Projections in operator ranges
topic_facet Matemática
Oblique projections
Operator ranges
Positive operators
description If H is a Hilbert space, A is a positive bounded linear operator on H and S is a closed subspace of H, the relative position between S and A-1 (S⊥) establishes a notion of compatibility. We show that the compatibility of (A, S) is equivalent to the existence of a convenient orthogonal projection in the operator range R(A1/2) with its canonical Hilbertian structure.
format Articulo
Articulo
author Corach, Gustavo
Maestripieri, Alejandra
Stojanoff, Demetrio
author_facet Corach, Gustavo
Maestripieri, Alejandra
Stojanoff, Demetrio
author_sort Corach, Gustavo
title Projections in operator ranges
title_short Projections in operator ranges
title_full Projections in operator ranges
title_fullStr Projections in operator ranges
title_full_unstemmed Projections in operator ranges
title_sort projections in operator ranges
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/83108
work_keys_str_mv AT corachgustavo projectionsinoperatorranges
AT maestripierialejandra projectionsinoperatorranges
AT stojanoffdemetrio projectionsinoperatorranges
bdutipo_str Repositorios
_version_ 1764820488299741185

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