JournalszaaVol. 14, No. 1pp. 33–41

Diagonalizing 'Compact' Operators on Hilbert W*-Modules

  • Michael Frank

    Hochschule für Technik, Wirtschaft und Kultur, Leipzig, Germany
  • V.M. Manuilov

    Moscow State University, Russian Federation
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Abstract

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

Cite this article

Michael Frank, V.M. Manuilov, Diagonalizing 'Compact' Operators on Hilbert W*-Modules. Z. Anal. Anwend. 14 (1995), no. 1, pp. 33–41

DOI 10.4171/ZAA/661