Some remarks on Gleason measures

P. De Nápoli, and M. C. Mariani. "Some remarks on Gleason measures." Studia Mathematica 179.2 (2007): 99-115. <http://eudml.org/doc/285285>.

@article{P2007,
abstract = {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.},
author = {P. De Nápoli, M. C. Mariani},
journal = {Studia Mathematica},
keywords = {Gleason measure; Lebesgue decomposition; Radon-Nikodym theorem; von Neumann algebra},
language = {eng},
number = {2},
pages = {99-115},
title = {Some remarks on Gleason measures},
url = {http://eudml.org/doc/285285},
volume = {179},
year = {2007},
}

TY - JOUR
AU - P. De Nápoli
AU - M. C. Mariani
TI - Some remarks on Gleason measures
JO - Studia Mathematica
PY - 2007
VL - 179
IS - 2
SP - 99
EP - 115
AB - 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.
LA - eng
KW - Gleason measure; Lebesgue decomposition; Radon-Nikodym theorem; von Neumann algebra
UR - http://eudml.org/doc/285285
ER -