期刊
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
卷 11, 期 2, 页码 647-656出版社
SPRINGER BASEL AG
DOI: 10.1007/s11868-020-00335-1
关键词
Discrete pseudo-differential operators; Compact operators; Dixmier ideal; Dixmier traces; Marcinkiewicz ideal
资金
- Pontificia Universidad Javeriana
- Universidad de Los Andes
- CSIR India
- FWO Odysseus 1 Grant [G.0H94.18N]
In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on l(2)(Z(n)). In this setting, we introduce a suitable notion of a class of classical symbols which provide a class of Dixmier traceable discrete pseudo-differential operators. We also present a formula for the Dixmier trace of a Dixmier traceable discrete pseudo-differential operator by using the Connes equivalence between the Wodzicki residue and the Dixmier trace.
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