POLYNOMIALS AND LIMITED SETS

Authors
GALINDO P
Citation
P. Galindo, POLYNOMIALS AND LIMITED SETS, Proceedings of the American Mathematical Society, 124(5), 1996, pp. 1481-1488
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
5
Year of publication
1996
Pages
1481 - 1488
Database
ISI
SICI code
0002-9939(1996)124:5<1481:PALS>2.0.ZU;2-I
Abstract
We prove that scalar-valued polynomials are weakly continuous on limit ed sets and that, as in the case of linear mappings, every c(o)-valued polynomial maps limited sets into relatively compact ones. We also sh ow that a scalar-valued polynomial whose derivative is limited is weak ly sequentially continuous.