CONTENTSIntroduction...............................................................................................................................................5§0. Fundamental definitions and notations...............................................................................................7§1. Subadditive measure on projectors of a von Neumann algebra.........................................................8§2. m-measurable operators. Convergence in measure.........................................................................10§3. Spaces of m-measurable operators.......................................................................................22§4. Some theorems on the convergence of a dominated sequence of m-measurable operators...........32§5. Some characterizations of m-convergence.......................................................................................42§6. Concrete examples...........................................................................................................................45§7. Concluding remarks..........................................................................................................................60References.............................................................................................................................................64
@book{bwmeta1.element.zamlynska-1cf95681-8997-42ea-b4b7-5dbe504f721d,
author = {Leszek J. Ciach},
title = {Subadditive measures on projectors of a von Neumann algebra},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1990},
zbl = {0708.46054},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-1cf95681-8997-42ea-b4b7-5dbe504f721d}
}
Leszek J. Ciach. Subadditive measures on projectors of a von Neumann algebra. GDML_Books (1990), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-1cf95681-8997-42ea-b4b7-5dbe504f721d/