Geodesic
Some remarks on Gleason measures
P. De Nápoli1 ; M. C. Mariani2
1 Departamento de Matemática Universidad de Buenos Aires Ciudad Universitaria, Pabellón I 1428 Buenos Aires, Argentina
2 Department of Mathematical Sciences New Mexico State University Las Cruces, NM 88003-0001, U.S.A.
Studia Mathematica, Tome 179 (2007) no. 2, pp. 99-115

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 Hilbert spaces.
DOI : 10.4064/sm179-2-1
Keywords: work devoted generalizing lebesgue decomposition radon nikodym theorem gleason measures purpose introduce notion integral operators respect gleason measure finally example showing gleason theorem does non separable hilbert spaces

P. De Nápoli 1 ; M. C. Mariani 2

1 Departamento de Matemática Universidad de Buenos Aires Ciudad Universitaria, Pabellón I 1428 Buenos Aires, Argentina
2 Department of Mathematical Sciences New Mexico State University Las Cruces, NM 88003-0001, U.S.A. 
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P. De Nápoli; M. C. Mariani. Some remarks on Gleason measures. Studia Mathematica, Tome 179 (2007) no. 2, pp. 99-115. doi: 10.4064/sm179-2-1

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