hal.structure.identifier	Laboratoire Bordelais d'Analyse et Géométrie [LaBAG]
dc.contributor.author	GIOL, Julien
dc.date.issued	2005
dc.identifier.issn	0022-1236
dc.description.abstractEn	Let 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.iso	en
dc.publisher	Elsevier
dc.subject.en	idempotent
dc.subject.en	projection
dc.subject.en	piecewise affine homotopy
dc.subject.en	Hilbert space geometry
dc.title.en	Segments of bounded idempotents on a Hilbert space.
dc.type	Article de revue
dc.subject.hal	Mathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journal	Journal of Functional Analysis
bordeaux.page	405-423
bordeaux.volume	229
bordeaux.issue	2
bordeaux.peerReviewed	oui
hal.identifier	hal-00288807
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00288807v1
bordeaux.COinS	ctx_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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Segments of bounded idempotents on a Hilbert space.