This article is cited in 24 papers

Commutation of Projections and Trace Characterization on von Neumann Algebras. II

A. M. Bikchentaev

Kazan (Volga Region) Federal University

Abstract: We obtain new necessary and sufficient commutation conditions for projections in terms of operator inequalities. These inequalities are applied for trace characterization on von Neumann algebras for the class of all positive normal functionals.

Keywords: projection, von Neumann algebra, Hilbert space, trace, commutation of operators, normal functional, linear bounded operator, operator inequality.

UDC: 517.986

Received: 23.06.2009
Revised: 22.04.2010

DOI: 10.4213/mzm8640

 English version: Mathematical Notes, 2011, 89:4, 461–471

Bibliographic databases:

• 
• 
•