Linear combinations of projections in von Neumann algebras-Reference-Cited by-同舟云学术

Linear combinations of projections in von Neumann algebras

Published:1992 Issue:1 Volume:116 Page:175-183
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Goldstein Stanisław,Paszkiewicz Adam

Abstract

Any operator in a von Neumann algebra is a linear combination of a finite number of projections from the algebra with coefficients from the center of the algebra. Those von Neumann algebras that are the complex linear span of their projections are identified.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-116-01/S0002-9939-1992-1094501-9/S0002-9939-1992-1094501-9.pdf

Reference7 articles.

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2. Sommes de commutateurs dans les algèbres de von Neumann finies continues;Fack, Th.;Ann. Inst. Fourier (Grenoble),1980

3. Operator algebras generated by projections;Fillmore, P. A.;Duke Math. J.,1967

4. Any selfadjoint operator is a finite linear combination of projectors;Paszkiewicz, Adam;Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math.,1980

5. \bysame, Self-adjoint operators as a real span of 4 projections, Math. Japon, (to appear).

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