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Diagonalizing ''compact'' operators on Hilbert W*-modules

Michael Frank, Vladimir M. Manuilov

funct-anarXiv:funct-an/9411008

Abstract

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

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