Subspaces discerning nullcontinuity

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dc.creatorThill, Marco
dc.date2004-12-10
dc.date.accessioned2026-07-07T05:15:11Z
dc.date.available2026-07-07T05:15:11Z
dc.descriptionGiven positive linear functional l on a vector lattice L of real functions, and a vector subspace M of L, we construct a vector subspace P(M) of M in such a way that 1) l is nullcontinuous on P(M), and 2) if l is nullcontinuous on M then P(M) is all of M. We mention here that this result continues to hold for quite general modes of convergence, including tau-continuity. Our construction uses a new method involving the "kernel" of a seminorm.
dc.identifierhttps://arxiv.org/abs/math/0412210
dc.identifierhttp://arxiv.org/abs/math/0412210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73548
dc.subjectFunctional Analysis
dc.subject28C05
dc.titleSubspaces discerning nullcontinuity
dc.typetext

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