Artículos de revistas
Ideal structures in vector-valued polynomial spaces
Fecha
2016-10Registro en:
Dimant, Veronica Isabel; Lassalle, Silvia Beatriz; Prieto, Angeles; Ideal structures in vector-valued polynomial spaces; Banach Mathematical Research Group; Banach Journal Of Mathematical Analysis; 10; 4; 10-2016; 686-702
1735-8787
CONICET Digital
CONICET
Autor
Dimant, Veronica Isabel
Lassalle, Silvia Beatriz
Prieto, Angeles
Resumen
This paper is concerned with the study of geometric structures in spaces of polynomials. More precisely, we discuss for E and F Banach spaces, whether the class of n-homogeneous polynomials, Pw(nE,F), which are weakly continuous on bounded sets, is an HB-subspace or an M(1,C)-ideal in the space of continuous n-homogeneous polynomials, P(nE,F). We establish sufficient conditions under which the problem can be positively solved. Some examples are given. We also study when some ideal structures pass from Pw(nE,F) as an ideal in P(nE,F) to the range space F as an ideal in its bidual F∗∗.