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Inequalities for singular values and traces

✍ Scribed by Ling Chen; Chi Song Wong


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
477 KB
Volume
171
Category
Article
ISSN
0024-3795

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Singular Traces and Compact Operators
✍ S Albeverio; D Guido; A Ponosov; S Scarlatti πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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