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

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

1994-11-24

arxiv.org/abs/funct-an/9411008v2

Zeitschr. Anal. Anwendungen 14(1995), 33-41

Mathematics

Operator Algebras

9 pages, plain TEX, no figures

Scientific paper

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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