The topology and the structure of the set of the canonical extensions of positive, weakly continuous functionals from a von Neumann subalgebra to a von Neumann algebra M are described.
@article{bwmeta1.element.bwnjournal-article-smv135i1p13bwm,
author = {Carlo Cecchini},
title = {Canonical functional extensions on von Neumann algebras},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {13-24},
zbl = {0945.46045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv135i1p13bwm}
}
Cecchini, Carlo. Canonical functional extensions on von Neumann algebras. Studia Mathematica, Tome 133 (1999) pp. 13-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i1p13bwm/
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