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Please use this identifier to cite or link to this item: https://www.um.edu.mt/library/oar/handle/123456789/18420
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dc.contributor.authorBuhagiar, David-
dc.contributor.authorChetcuti, Emanuel-
dc.date.accessioned2017-04-17T14:06:11Z-
dc.date.available2017-04-17T14:06:11Z-
dc.date.issued2008-03-
dc.identifier.citationBuhagiar, D., & Chetcuti, E. (2008). Only 'free' measures are admissable on F(S) when the inner product space S is incomplete. Proceedings of the American Mathematical Society, 136(3), 919-922.en_GB
dc.identifier.urihttps://www.um.edu.mt/library/oar//handle/123456789/18420-
dc.description.abstractUsing elementary arguments and without having to recall the Gleason Theorem, we prove that the existence of a nonsingular measure on the lattice of orthogonally closed subspaces of an inner product space S is a sufficient (and of course, a necessary) condition for S to be a Hilbert space.en_GB
dc.language.isoenen_GB
dc.publisherAmerican Mathematical Societyen_GB
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_GB
dc.subjectInner product spacesen_GB
dc.subjectHilbert spaceen_GB
dc.subjectLattice theoryen_GB
dc.subjectIncompleteness theoremsen_GB
dc.titleOnly 'free' measures are admissable on F(S) when the inner product space S is incompleteen_GB
dc.typearticleen_GB
dc.rights.holderThe copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder.en_GB
dc.description.reviewedpeer-revieweden_GB
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