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Symmetric Functionals and Singular Traces

โœ Scribed by P.G. Dodds; B. de Pagter; E.M. Semenov; F.A. Sukochev


Book ID
110279292
Publisher
Springer
Year
1998
Tongue
English
Weight
291 KB
Volume
2
Category
Article
ISSN
1385-1292

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We give a necessary and sufficient condition on a positive compact operator T for the existence of a singular trace (i.e. a trace vanishing on the finite rank operators) which takes a finite non-zero value on T. This generalizes previous results by Dixmier and Varga. We also give an explicit descrip