Berezin-Toeplitz quantization and composition formulas

verfasst von

Wolfram Bauer

Abstract

Extending results in [L.A. Coburn, The measure algebra of the Heisenberg group, J. Funct. Anal. 161 (1999) 509-525; L.A. Coburn, On the Berezin-Toeplitz calculus, Proc. Amer. Math. Soc. 129 (11) (2001) 3331-3338] we derive composition formulas for Berezin-Toeplitz operators with i.g. unbounded symbols in the range of certain integral transforms. The question whether a finite product of Berezin-Toeplitz operators is an operator of this type again can be answered affirmatively in several cases, but there are also well-known counter examples. We explain some consequences of such formulas to C^*-algebras generated by Toeplitz operators.

Externe Organisation(en)

Universität Greifswald

Typ

Artikel

Journal

Journal of functional analysis

Band

256

Seiten

3107-3142

Anzahl der Seiten

36

ISSN

0022-1236

Publikationsdatum

18.03.2009

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis

Elektronische Version(en)

https://doi.org/10.1016/j.jfa.2008.10.002 (Zugang: Geschlossen)