Exotic indecomposable systems of four subspaces in a Hilbert space

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dc.creatorEnomoto, Masatoshi
dc.creatorWatatani, Yasuo
dc.date2006-07-04
dc.date.accessioned2026-07-07T07:17:59Z
dc.date.available2026-07-07T07:17:59Z
dc.descriptionWe study the relative position of four subspaces in a Hilbert space. For any positive integer n, we give an example of exotic indecomposable system of four subspaces in a Hilbert space whose defect is (2n+1)/3. By an exotic system, we mean a system which is not isomorphic to any closed operator system under any permutation of subspaces. We construct the examples by a help of certain nice sequences used by Jiang and Wang in their study of strongly irreducible operators.
dc.description16pages
dc.identifierhttps://arxiv.org/abs/math/0607085
dc.identifierhttp://arxiv.org/abs/math/0607085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114143
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46C05, 47A15
dc.titleExotic indecomposable systems of four subspaces in a Hilbert space
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