COMPOSITION OPERATORS ON A BANACH-SPACE OF ANALYTIC-FUNCTIONS

Authors
CAO GF ELIAS N GHATAGE P YU DH
Citation
Gf. Cao et al., COMPOSITION OPERATORS ON A BANACH-SPACE OF ANALYTIC-FUNCTIONS, Acta Mathematica Sinica, New Series, 14(2), 1998, pp. 201-208
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Acta Mathematica Sinica, New Series
ISSN journal
10009574 → ACNP
Volume
14
Issue
2
Year of publication
1998
Pages
201 - 208
Database
ISI
SICI code
1000-9574(1998)14:2<201:COOABO>2.0.ZU;2-9
Abstract
In this paper, we study composition operators on a Banach space of ana lytic functions, denoted by X, which includes the Bloch space. This sp ace arises naturally as the dual space of analytic functions in the Be rgman space L-alpha(1)(D) which admit an atomic decomposition. We char acterise the functions which induce compact composition operators and those which induce Fredholm operatorson this space. We also investigat e when a composition operator has a closed range.