TY - JOUR
T1 - Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions
AU - Herrera Yañez, Crispin
AU - Hutník, Ondrej
AU - Maximenko, Egor A.
N1 - Funding Information:
We thank N. Vasilevski for the idea behind the paper and his advice during its preparation, and K.M. Esmeral García for his comments which inspired us to define the distance . The first author has been partially supported by CONACyT . The second author acknowledges financial support by VEGA grant 1/0164/14 . The third author has been supported by IPN–SIP Project 2013-0633 (México).
PY - 2014/2
Y1 - 2014/2
N2 - Extending a recent result of Herrera Yañez, Maximenko and Vasilevski, we provide a further step in the structural analysis of algebras generated by Toeplitz operators on weighted Bergman spaces over the upper half-plane. We show that the set of "spectral" functions corresponding to Toeplitz operators generated by bounded vertical symbols is dense in the C*-algebra of very slowly oscillating functions on the positive half-line.
AB - Extending a recent result of Herrera Yañez, Maximenko and Vasilevski, we provide a further step in the structural analysis of algebras generated by Toeplitz operators on weighted Bergman spaces over the upper half-plane. We show that the set of "spectral" functions corresponding to Toeplitz operators generated by bounded vertical symbols is dense in the C*-algebra of very slowly oscillating functions on the positive half-line.
UR - http://www.scopus.com/inward/record.url?scp=84892534837&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2013.12.004
DO - 10.1016/j.crma.2013.12.004
M3 - Artículo
SN - 1631-073X
VL - 352
SP - 129
EP - 132
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 2
ER -