GEOMETRY OF SPACES OF VECTOR-VALUED HARMONIC-FUNCTIONS

Authors
DOWLING PN HU ZB SMITH MA
Citation
Pn. Dowling et al., GEOMETRY OF SPACES OF VECTOR-VALUED HARMONIC-FUNCTIONS, Canadian journal of mathematics, 46(2), 1994, pp. 274-283
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
46
Issue
2
Year of publication
1994
Pages
274 - 283
Database
ISI
SICI code
0008-414X(1994)46:2<274:GOSOVH>2.0.ZU;2-O
Abstract
It is shown that the space h(p)(D, X) has the Kadec-Klee property with respect to pointwise norm convergence in the Banach space X if and on ly if X has the Radon-Nikodym property and every point of the unit sph ere of X is a denting point of the unit ball of X. In addition, it is shown that h(p)(D, X) is locally uniformly rotund if and only if X is locally uniformly rotund and has the Radon-Nikodym property.