%0 Journal Article
%A Dimant, Verónica
%A Lassalle, Silvia
%A Prieto Yerro, M. Ángeles
%T Ideal structures in vector-valued polynomial spaces
%D 2016
%@ 1735-8787
%U https://hdl.handle.net/20.500.14352/23072
%X 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**.
%~