RT Journal Article
T1 The unit ball of the complex P(H-3)
A1 Grecu, B.C.
A1 Muñoz-Fernández, Gustavo A.
A1 Seoane Sepúlveda, Juan Benigno
AB Let H be a two-dimensional complex Hilbert space and P(H-3) the space of 3-homogeneous polynomials on H. We give a characterization of the extreme points of its unit ball, B-P(3H), from which we deduce that the unit sphere of P(H-3) is the disjoint union of the sets of its extreme and smooth points. We also show that an extreme point of B-P(3H) remains extreme as considered as an element of B-L(3H). Finally we make a few remarks about the geometry of the unit ball of the predual of P(H-3) and give a characterization of its smooth points.
PB Springer
SN 0025-5874
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50167
UL https://hdl.handle.net/20.500.14352/50167
LA eng
NO Marie Curie Intra European Fellowship
DS Docta Complutense
RD 9 abr 2025