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 -