On the Radon-Nikodym Derivative with a Chain Rule in a Von Neumann Algebra
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 661-669
Voir la notice de l'article provenant de la source Cambridge
The purpose of this paper is to show that by a reorganization of the proofs of the main results concerning Radon-Nikodym derivatives in a von Neumann algebra of Pedersen and Takesaki in [12] and of Connes in paragraphs 1.1 and 1.2 of [5], considerable technical simplification can be achieved. Roughly speaking, the analytic vector techniques developed by these authors for the study of weights on a von Neumann algebra can be replaced, to a large extent, by the tensor product methods introduced by Connes, which are essentially algebraic in nature. In the exposition which follows, analytic vectors are not used at all (see, however, 4.4).
Elliott, George A. On the Radon-Nikodym Derivative with a Chain Rule in a Von Neumann Algebra. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 661-669. doi: 10.4153/CMB-1975-116-1
@article{10_4153_CMB_1975_116_1,
author = {Elliott, George A.},
title = {On the {Radon-Nikodym} {Derivative} with a {Chain} {Rule} in a {Von} {Neumann} {Algebra}},
journal = {Canadian mathematical bulletin},
pages = {661--669},
year = {1975},
volume = {18},
number = {5},
doi = {10.4153/CMB-1975-116-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-116-1/}
}
TY - JOUR AU - Elliott, George A. TI - On the Radon-Nikodym Derivative with a Chain Rule in a Von Neumann Algebra JO - Canadian mathematical bulletin PY - 1975 SP - 661 EP - 669 VL - 18 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-116-1/ DO - 10.4153/CMB-1975-116-1 ID - 10_4153_CMB_1975_116_1 ER -
Cité par Sources :