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The Weyl-Von Neumann Theorem for Multipliers Of Some Af-Algebras

Published online by Cambridge University Press:  20 November 2018

Nigel Higson  and
Mikael Rørdam
Nigel Higson
Affiliation:
Department of Mathematics The Pennsylvania State University 218 McAllister Building University Park, PA 16802, USA
Mikael Rørdam
Affiliation:
Department of Mathematics and Computer Science Odense UniversityCampusvej 55 DK-5230 Odense M, Denmark
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A well known theorem of Weyl-von Neumann asserts that if X is a self-adjoint operator acting on a separable Hilbert space, then there is a decomposition 1 = Σ en of the identity into finite rank projections so that we may write X = Σ ƛnen + y, where the ƛnare scalars and y is a compact operator with small norm. In other words, X can be approximately diagonalized.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 2 , 01 April 1991 , pp. 322 - 330
Copyright
Copyright © Canadian Mathematical Society 1991

References

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