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hal.structure.identifierLaboratoire Bordelais d'Analyse et Géométrie [LaBAG]
dc.contributor.authorGIOL, Julien
dc.date.issued2005
dc.identifier.issn0022-1236
dc.description.abstractEnLet H be a separable Hilbert space. We prove that any two homotopic idempotents in the algebra may be connected by a piecewise affine idempotent-valued path consisting of 4 segments at most. Moreover, we show that this constant is optimal provided H has infinite dimension. We also explain how this result is linked to the problem of finding common complements for two closed subspaces of H.
dc.language.isoen
dc.publisherElsevier
dc.subject.enidempotent
dc.subject.enprojection
dc.subject.enpiecewise affine homotopy
dc.subject.enHilbert space geometry
dc.title.enSegments of bounded idempotents on a Hilbert space.
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journalJournal of Functional Analysis
bordeaux.page405-423
bordeaux.volume229
bordeaux.issue2
bordeaux.peerReviewedoui
hal.identifierhal-00288807
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00288807v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Functional%20Analysis&rft.date=2005&rft.volume=229&rft.issue=2&rft.spage=405-423&rft.epage=405-423&rft.eissn=0022-1236&rft.issn=0022-1236&rft.au=GIOL,%20Julien&rft.genre=article


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