Spectral and polar decomposition in AW*-algebras
funct-an
2008-02-03 v1 Operator Algebras
Abstract
We show the possibility and the uniqueness of polar decomposition of elements of arbitrary AW*-algebras inside them. We prove that spectral decomposition of normal elements of normal AW*-algebras is possible and unique inside them. The possibility of spectral decomposition of normal elements does not depend on the normality of the AW*-algebra under consideration.
Cite
@article{arxiv.funct-an/9303001,
title = {Spectral and polar decomposition in AW*-algebras},
author = {Michael Frank},
journal= {arXiv preprint arXiv:funct-an/9303001},
year = {2008}
}
Comments
7 pages, LATEX, preprint NTZ-25/91 (Universitaet Leipzig, Naturwissenschaftlich-Theoretisches Zentrum, 1991), submitted to Zeitschr. Anal. Anw