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Traces of operators with a relatively compact perturbation

✍ Scribed by V. A. Sadovnichii; V. E. Podol’skii


Book ID
110158362
Publisher
Springer
Year
2008
Tongue
English
Weight
382 KB
Volume
44
Category
Article
ISSN
0012-2661

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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