Some remarks on Gleason measures

This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-sep...

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Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v179_n2_p99_DeNapoli
http://hdl.handle.net/20.500.12110/paper_00393223_v179_n2_p99_DeNapoli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00393223_v179_n2_p99_DeNapoli
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spelling paper:paper_00393223_v179_n2_p99_DeNapoli2023-06-08T15:03:32Z Some remarks on Gleason measures This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hubert spaces. © Instytut Matematyczny PAN, 2007. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v179_n2_p99_DeNapoli http://hdl.handle.net/20.500.12110/paper_00393223_v179_n2_p99_DeNapoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hubert spaces. © Instytut Matematyczny PAN, 2007.
title Some remarks on Gleason measures
spellingShingle Some remarks on Gleason measures
title_short Some remarks on Gleason measures
title_full Some remarks on Gleason measures
title_fullStr Some remarks on Gleason measures
title_full_unstemmed Some remarks on Gleason measures
title_sort some remarks on gleason measures
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v179_n2_p99_DeNapoli
http://hdl.handle.net/20.500.12110/paper_00393223_v179_n2_p99_DeNapoli
_version_ 1768542496518832128

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