Singular Traces and Compact Operators
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S Albeverio; D Guido; A Ponosov; S Scarlatti
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Article
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1996
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Elsevier Science
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English
⚖ 922 KB
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