RT Journal Article
T1 Ideal structures in vector-valued polynomial spaces
A1 Dimant, Verónica
A1 Lassalle, Silvia
A1 Prieto Yerro, M. Ángeles
AB 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, 'P-w((n) E, 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((n) E, 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 P-w((n) E, F) as an ideal in P((n) E, F) to the range space F as an ideal in its bidual F**.
PB Tusi Mathematical research group
SN 1735-8787
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/23072
UL https://hdl.handle.net/20.500.14352/23072
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO PAI-UdeSA
NO CONICET-PIP
NO ANPCyT PICT
NO UBACyT
DS Docta Complutense
RD 9 abr 2025