Rank Preserving Maps on CSL Algebras

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dc.creatorKim, Jaedeok
dc.creatorMoore, Robert L.
dc.date2006-01-11
dc.date2006-03-02
dc.date.accessioned2026-07-07T06:58:48Z
dc.date.available2026-07-07T06:58:48Z
dc.descriptionWe give a description of a weakly continuous rank preserving map on a reflexive algebra on complex Hilbert space with commutative completely distributive subspace lattice. We show that the implementation of a rank preserving map can be described by the combination of two different types of maps. We also show that a rank preserving map can be implemented by only one type if the corresponding lattice is irreducible. We present some examples of both types of rank preserving map.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0601254
dc.identifierhttp://arxiv.org/abs/math/0601254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107500
dc.subjectOperator Algebras
dc.subject47L35
dc.titleRank Preserving Maps on CSL Algebras
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