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Positivity properties for noncommutative convolution algebras with applications in pseudo-differential calculus
Blekinge Tekniska Högskola.ORCID iD: 0000-0003-1921-8168
2003 (English)In: Bulletin des Sciences Mathématiques, ISSN 0007-4497, E-ISSN 1952-4773, Vol. 127, no 2, p. 101-132Article in journal (Refereed) Published
Abstract [en]

We study  , of all  such that (a*σ,)0 for every C0, where *σ denotes the twisted convolution. We prove that certain boundedness for  are completely determined of the behaviour for a at origin, for example that  , and that if a(0)<∞, then aL2L. We use the results in order to determine wether positive pseudo-differential operators belong to certain Schatten-casses or not.

Place, publisher, year, edition, pages
Elsevier , 2003. Vol. 127, no 2, p. 101-132
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-8509DOI: 10.1016/S0007-4497(02)00003-9OAI: oai:DiVA.org:lnu-8509DiVA, id: diva2:352152
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Matematisk modellering
Note
Vid tiden för publicering arbetade författaren vid Blekinge Tekniska HögskolaAvailable from: 2010-09-18 Created: 2010-09-18 Last updated: 2017-12-12Bibliographically approved

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Toft, Joachim

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