Traces of compact operators and the noncommutative residue
β Scribed by Kalton, Nigel; Lord, Steven; Potapov, Denis; Sukochev, Fedor
- Book ID
- 118275923
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 422 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0001-8708
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π SIMILAR VOLUMES
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
In this paper a trace functional is defined for certain algebras of Fourier integral operators (including, for instance, the algebra of Toeplitz operators on the boundary of a strictly pseudoconvex domain) and it is shown that vanishing of this trace characterizes commutators in each of these algebr