About: Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n     Goto   Sponge   NotDistinct   Permalink

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  • 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.
  • 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. (en)
Title
  • Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n
  • Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n (en)
skos:prefLabel
  • Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n
  • Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n (en)
skos:notation
  • RIV/67985840:_____/09:00334145!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/06/0128), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 11
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  • 346458
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  • RIV/67985840:_____/09:00334145
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  • Schatten-von Neumann classes; Macaev classes; trace; Dixmier trace; Toeplitz operators; Hankel operators (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1351C4D56CDB]
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the American Mathematical Society
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  • 137
http://linked.open...iv/tvurceVysledku
  • Engliš, Miroslav
  • Zhang, G.
  • Guo, K.
http://linked.open...ain/vavai/riv/wos
  • 000271236000014
http://linked.open...n/vavai/riv/zamer
issn
  • 0002-9939
number of pages
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