Strong sums of projections in von Neumann factors

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dc.creatorKaftal, Victor
dc.creatorNg, Ping Wong
dc.creatorZhang, Shuang
dc.date2008-11-18
dc.date.accessioned2026-07-07T10:19:07Z
dc.date.available2026-07-07T10:19:07Z
dc.descriptionThis paper presents necessary and sufficient conditions for a positive bounded operator on a separable Hilbert space to be the sum of a finite or infinite collection of projections (not necessarily mutually orthogonal), with the sum converging in the strong operator topology if the collection is infinite. A similar necessary condition is given when the operator and the projections are taken in a type II von Neumann factor, and the condition is proven to be also sufficient if the operator is "diagonalizable". A simpler necessary and sufficient condition is given in the type III factor case.
dc.identifierhttps://arxiv.org/abs/0811.2835
dc.identifierhttp://arxiv.org/abs/0811.2835
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174396
dc.subjectOperator Algebras
dc.subjectAlgebraic Geometry
dc.subject47C15, 46L10
dc.titleStrong sums of projections in von Neumann factors
dc.typetext

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