Subadditive measures on projectors of a von Neumann algebra

Leszek J. Ciach

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1990

Abstract

top
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 L a 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

How to cite

top

Leszek J. Ciach. Subadditive measures on projectors of a von Neumann algebra. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1990. <http://eudml.org/doc/268600>.

@book{LeszekJ1990,
abstract = {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 $L^a$ 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},
author = {Leszek J. Ciach},
keywords = {subadditive measures on the space of projections of a von Neumann algebra; Murray-von Neumann equivalence classes; measurable operators; convergence in measure; -spaces; dominated convergence},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Subadditive measures on projectors of a von Neumann algebra},
url = {http://eudml.org/doc/268600},
year = {1990},
}

TY - BOOK
AU - Leszek J. Ciach
TI - Subadditive measures on projectors of a von Neumann algebra
PY - 1990
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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 $L^a$ 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
LA - eng
KW - subadditive measures on the space of projections of a von Neumann algebra; Murray-von Neumann equivalence classes; measurable operators; convergence in measure; -spaces; dominated convergence
UR - http://eudml.org/doc/268600
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.