The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen

Full-Text PDF (777 KB) | Metadata | Table of Contents | ZAA summary
Volume 14, Issue 1, 1995, pp. 33–41
DOI: 10.4171/ZAA/661

Published online: 1995-03-31

Diagonalizing 'Compact' Operators on Hilbert W*-Modules

Michael Frank[1] and V.M. Manuilov[2]

(1) Hochschule für Technik, Wirtschaft und Kultur, Leipzig, Germany
(2) Moscow State University, Russian Federation

For W*-algebras $A$ and self-dual Hilbert $A$-modules $\mathcal M$ we show that every self-adjoint, "compact" module operator on $\mathcal M$ is diagonalizable. Some specific properties of the eigenvalues and of the eigenvectors are described.

Keywords: Diagonolization of 'compact' operators, Hubert W*-modules, W*-algebras, eigenvalues, eigenvectors

Frank Michael, Manuilov V.M.: Diagonalizing 'Compact' Operators on Hilbert W*-Modules. Z. Anal. Anwend. 14 (1995), 33-41. doi: 10.4171/ZAA/661