Details
| Original language | English |
|---|---|
| Pages (from-to) | 1323-1355 |
| Number of pages | 33 |
| Journal | Journal of functional analysis |
| Volume | 263 |
| Issue number | 5 |
| Publication status | Published - 1 Sept 2012 |
| Externally published | Yes |
Abstract
For 1<p<∞ let T p α be the norm closure of the algebra generated by Toeplitz operators with bounded symbols acting on the standard weighted Fock space F α p In this paper, we will show that an operator A is compact on Fαp if and only if A∈T p α and the Berezin transform B α(A) of A vanishes at infinity.
Keywords
- Fock spaces, Toeplitz algebra, Toeplitz operators
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
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In: Journal of functional analysis, Vol. 263, No. 5, 01.09.2012, p. 1323-1355.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Compactness characterization of operators in the Toeplitz algebra of the Fock space Fαp
AU - Bauer, Wolfram
AU - Isralowitz, Joshua
N1 - Funding Information: Both authors were supported by an Emmy-Noether grant of Deutsche Forschungsgemeinschaft. Corresponding author. E-mail addresses: wbauer@uni-math.gwdg.de (W. Bauer), jbi2@uni-math.gwdg.de (J. Isralowitz). Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/9/1
Y1 - 2012/9/1
N2 - For 1p α be the norm closure of the algebra generated by Toeplitz operators with bounded symbols acting on the standard weighted Fock space F α p In this paper, we will show that an operator A is compact on Fαp if and only if A∈T p α and the Berezin transform B α(A) of A vanishes at infinity.
AB - For 1p α be the norm closure of the algebra generated by Toeplitz operators with bounded symbols acting on the standard weighted Fock space F α p In this paper, we will show that an operator A is compact on Fαp if and only if A∈T p α and the Berezin transform B α(A) of A vanishes at infinity.
KW - Fock spaces
KW - Toeplitz algebra
KW - Toeplitz operators
UR - http://www.scopus.com/inward/record.url?scp=84862987026&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2012.04.020
DO - 10.1016/j.jfa.2012.04.020
M3 - Article
AN - SCOPUS:84862987026
VL - 263
SP - 1323
EP - 1355
JO - Journal of functional analysis
JF - Journal of functional analysis
SN - 0022-1236
IS - 5
ER -