Projections in operator ranges

dc.creatorCorach, Gustavo
dc.creatorMaestripieri, Alejandra
dc.creatorStojanoff, Demetrio
dc.date2005-09-14
dc.date.accessioned2026-07-07T05:23:13Z
dc.date.available2026-07-07T05:23:13Z
dc.descriptionIf $\H$ is a Hilbert space, $A$ is a positive bounded linear operator on $\cH$ and $\cS$ is a closed subspace of $\cH$, the relative position between $\cS$ and $A^{-1}(\cS \orto)$ establishes a notion of compatibility. We show that the compatibility of $(A,\cS)$ is equivalent to the existence of a convenient orthogonal projection in the operator range $R(A^{1/2})$ with its canonical Hilbertian structure.
dc.identifierhttps://arxiv.org/abs/math/0509330
dc.identifierhttp://arxiv.org/abs/math/0509330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76347
dc.subjectFunctional Analysis
dc.subject46C07, 47A62, 46C05
dc.titleProjections in operator ranges
dc.typetext

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