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Zeitschrift für Analysis und ihre Anwendungen


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Volume 11, Issue 3, 1992, pp. 335–341
DOI: 10.4171/ZAA/603

Published online: 1992-09-30

Spectral and Polar Decomposition in AW*-Algebras

Michael Frank[1]

(1) Hochschule für Technik, Wirtschaft und Kultur, Leipzig, Germany

We show the possibility and the uniqueness of spectral and polar decomposition of (normal) elements of arbitrary AW*-algebras.

Keywords: Operator algebras, monotone complete C*-algebras, AW*-algebras, spectral decom-position and polar decomposition of operators

Frank Michael: Spectral and Polar Decomposition in AW*-Algebras. Z. Anal. Anwend. 11 (1992), 335-341. doi: 10.4171/ZAA/603