dc.creatorCorach, Gustavo
dc.creatorMaestripieri, Alejandra Laura
dc.creatorMbekhta, Mostafa
dc.date.accessioned2022-01-26T13:25:36Z
dc.date.accessioned2022-10-15T12:46:30Z
dc.date.available2022-01-26T13:25:36Z
dc.date.available2022-10-15T12:46:30Z
dc.date.created2022-01-26T13:25:36Z
dc.date.issued2009-08
dc.identifierCorach, Gustavo; Maestripieri, Alejandra Laura; Mbekhta, Mostafa; Metric and homogeneous structure of closed range operators; Theta Foundation; Journal of Operator Theory; 61; 1; 8-2009; 171-190
dc.identifier0379-4024
dc.identifierhttp://hdl.handle.net/11336/150677
dc.identifier1841-7744
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4387688
dc.description.abstractLet CR be the set of all bounded linear operators between Hilbert spaces H, K with closed range. This paper is devoted to the study of the topological properties of CR if certain natural metrics are considered on it. We also define an action of the group GH × GK on CR and determine the orbits of this action. These orbits, which are strongly related to the connected components for the topology defined by the metrics mentioned above, determine a stratification of the set of Fredholm and semi-Fredholm operators. Finally, we calculate the distance, with respect to some of the metrics mentioned above, between different orbits of CR.
dc.languageeng
dc.publisherTheta Foundation
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.theta.ro/jot.html
dc.relationinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/math/0509328
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCLOSED RANGE
dc.subjectPARTIAL ISOMETRY
dc.subjectSEMI-FREDHOLM OPERATORS
dc.subjectPOSITIVE OPERATORS
dc.subjectORBITS
dc.subjectMOORE–PENROSE INVERSE
dc.titleMetric and homogeneous structure of closed range operators
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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