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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Autores principales: De Nápoli, P., Mariani, M.C.
Formato: JOUR
Acceso en línea: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
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spelling todo:paper_00393223_v179_n2_p99_DeNapoli2023-10-03T14:49:45Z Some remarks on Gleason measures De Nápoli, P. Mariani, M.C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author De Nápoli, P.
Mariani, M.C.
spellingShingle De Nápoli, P.
Mariani, M.C.
Some remarks on Gleason measures
author_facet De Nápoli, P.
Mariani, M.C.
author_sort De Nápoli, P.
title 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
url http://hdl.handle.net/20.500.12110/paper_00393223_v179_n2_p99_DeNapoli
work_keys_str_mv AT denapolip someremarksongleasonmeasures
AT marianimc someremarksongleasonmeasures
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