Título:
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Redundant decompositions, angles between subspaces and oblique projections
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Autor/a:
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Corach, G.; Maestripieri, Alejandra
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Abstract:
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Let Η be a complex Hilbert space. We study the relationships between the angles between closed subspaces of H, the oblique projections associated to non direct decompositions of H and a notion of compatibility between a positive (semidefinite) operator A acting on H and a closed subspace S of H. It turns out that the compatibility is ruled by the values of the Dixmier angle between the orthogonal complement S _l_ of S and the closure of AS. We show that every redundant decomposition H = S+M_l_ (where redundant means that S ∩M_l_ is not trivial) occurs in the presence of a certain compatibility. We also show applications of these results to some signal processing problems (consistent reconstruction) and to abstract splines problems which come from approximation theory. |
Materia(s):
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-Oblique projections -Angles between subspaces -Compatibility -Abstract splines |
Derechos:
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open access
Tots els drets reservats.
https://rightsstatements.org/vocab/InC/1.0/ |
Tipo de documento:
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Article |
Editor:
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Compartir:
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Uri:
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https://ddd.uab.cat/record/57605
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