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Linear combination of projections in von Neumann factors

Object's details: Linear combination of projections in von Neumann factors

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Provider:Repozytorium Uniwersytetu Łódzkiego

Description

Title:
Linear combination of projections in von Neumann factors
Creator:
Goldstein, Stanisław;
Paszkiewicz, Adam
Contributor:
Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland;
stanislaw.goldstein@wmii.uni.lodz.pl;
adam.paszkiewicz@wmii.uni.lodz.pl
Description:
It is shown that any self-adjoint operator in a finite discrete or infinite von Neumann factor can be written as a real linear combination of 4 projections. On the other hand, in any type II1 algebra and in any type II∞ factor there exists a self-adjoint operator that is not a linear combination of 3 projections.
Object availability:
free access
Rights: http://creativecommons.org/licenses/by-nc-nd/4.0 ;
Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe
Date:
2021.11.17;
2020
Type:
Article
Language:
English
Format:
application/pdf
Publisher:
Springer Nature
Relation:
Journal of Mathematical Analysis and Applications;489;
1
Subject:
Projection;
Linear combination;
Factor
Identifier:
Stanisław Goldstein, Adam Paszkiewicz, Linear combination of projections in von Neumann factors, Journal of Mathematical Analysis and Applications, Volume 489, Issue 1, 2020, 124135, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2020.124135.;
0022-247X;
http://hdl.handle.net/11089/39789 ;
10.1016/j.jmaa.2020.124135
Data provider:
Repozytorium Uniwersytetu Łódzkiego

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