A note on states of von Neumann algebras

Allah-Bakhsh Thaheem

Aplikace matematiky (1979)

  • Volume: 24, Issue: 3, page 199-200
  • ISSN: 0862-7940

Abstract

top
The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.

How to cite

top

Thaheem, Allah-Bakhsh. "A note on states of von Neumann algebras." Aplikace matematiky 24.3 (1979): 199-200. <http://eudml.org/doc/15094>.

@article{Thaheem1979,
abstract = {The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.},
author = {Thaheem, Allah-Bakhsh},
journal = {Aplikace matematiky},
keywords = {states of von Neumann algebras; projections; direct sum decomposition; quantum field theory; states of von Neumann algebras; projections; direct sum decomposition; quantum field theory},
language = {eng},
number = {3},
pages = {199-200},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on states of von Neumann algebras},
url = {http://eudml.org/doc/15094},
volume = {24},
year = {1979},
}

TY - JOUR
AU - Thaheem, Allah-Bakhsh
TI - A note on states of von Neumann algebras
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 3
SP - 199
EP - 200
AB - The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
LA - eng
KW - states of von Neumann algebras; projections; direct sum decomposition; quantum field theory; states of von Neumann algebras; projections; direct sum decomposition; quantum field theory
UR - http://eudml.org/doc/15094
ER -

References

top
  1. S. Sakai, C * -algebras and W * -algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60. Springer-Verlag, Berlin, 1971. (1971) Zbl0233.46074MR0442701

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.