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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2006
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v134_n3_p765_Corach http://hdl.handle.net/20.500.12110/paper_00029939_v134_n3_p765_Corach |
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paper:paper_00029939_v134_n3_p765_Corach2023-06-08T14:23:27Z Projections in operator ranges 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. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v134_n3_p765_Corach 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 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. |
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 |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v134_n3_p765_Corach http://hdl.handle.net/20.500.12110/paper_00029939_v134_n3_p765_Corach |
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1768542576277716992 |