RT Journal Article
T1 Geometry of Banach spaces of trinomials
A1 Muñoz-Fernández, Gustavo A.
A1 Seoane Sepúlveda, Juan Benigno
AB For each pair of numbers m, n epsilon N with m > n, we consider the norm on R-3 given by parallel to(a, b, c)parallel to m,n = sup{vertical bar ax(m) +bx(n) +C vertical bar: x epsilon [-1, 1]} for every (a, b, c) epsilon R-3. We investigate some geometrical properties of these norms. We provide an explicit formula for parallel to center dot parallel to m,n, a full description of the extreme points of the corresponding unit balls and a parametrization and a plot of their unit spheres.
PB Academic Press
SN 0022-247X
YR 2008
FD 2008-04-15
LK https://hdl.handle.net/20.500.14352/50195
UL https://hdl.handle.net/20.500.14352/50195
LA eng
NO MTM 2006-0353
DS Docta Complutense
RD 9 abr 2025