Spectral and polar decomposition in AW*-algebras

Details Spectral and polar decomposition in AW*-algebras Spectral and polar decomposition in AW*-algebras

1993-03-11

arxiv.org/abs/funct-an/9303001v1

Mathematics

Operator Algebras

7 pages, LATEX, preprint NTZ-25/91 (Universitaet Leipzig, Naturwissenschaftlich-Theoretisches Zentrum, 1991), submitted to Zei

Scientific paper

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.

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