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, G., Maestripieri, A., Stojanoff, D.
Formato: JOUR
Materias:
Oblique projections
Operator ranges
Positive operators
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v134_n3_p765_Corach
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00029939_v134_n3_p765_Corach
record_format dspace
spelling todo:paper_00029939_v134_n3_p765_Corach2023-10-03T13:55:08Z Projections in operator ranges Corach, G. Maestripieri, A. Stojanoff, D. Oblique projections Operator ranges Positive operators 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. © 2005 American Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v134_n3_p765_Corach
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Oblique projections
Operator ranges
Positive operators
spellingShingle Oblique projections
Operator ranges
Positive operators
Corach, G.
Maestripieri, A.
Stojanoff, D.
Projections in operator ranges
topic_facet 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. © 2005 American Mathematical Society.
format JOUR
author Corach, G.
Maestripieri, A.
Stojanoff, D.
author_facet Corach, G.
Maestripieri, A.
Stojanoff, D.
author_sort Corach, G.
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
url http://hdl.handle.net/20.500.12110/paper_00029939_v134_n3_p765_Corach
work_keys_str_mv AT corachg projectionsinoperatorranges
AT maestripieria projectionsinoperatorranges
AT stojanoffd projectionsinoperatorranges
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