Open AccessDiagonalizing 'Compact' Operators on Hilbert W*-Modules
Author(s) -
Michael Frank,
Vladimir Manuilov
Publication year - 1995
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/661
Subject(s) - mathematics , compact operator on hilbert space , pure mathematics , algebra over a field , computer science , compact operator , programming language , extension (predicate logic)
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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