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Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n
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SYSNO ASEP 0334145 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n Title Toeplitzovy a Hankelovy operátory a Dixmierovy stopy na jednotkové kouli v C-n Author(s) Engliš, Miroslav (MU-W) RID, ORCID, SAI
Guo, K. (CN)
Zhang, G. (SE)Source Title Proceedings of the American Mathematical Society. - : American Mathematical Society - ISSN 0002-9939
Roč. 137, č. 11 (2009), s. 3669-3678Number of pages 10 s. Language eng - English Country US - United States Keywords Schatten-von Neumann classes ; Macaev classes ; trace ; Dixmier trace ; Toeplitz operators ; Hankel operators Subject RIV BA - General Mathematics R&D Projects GA201/06/0128 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000271236000014 Annotation We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy and weighted Bergman spaces on the unit ball of C-d. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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