RT info:eu-repo/semantics/article
T1 Geometry of spaces of homogeneous trinomials on ℝ2
A1 Jiménez Rodríguez, Pablo
A1 Muñoz Fernández, Gustavo A.
A1 Rodríguez Vidanes, Daniel L.
AB For each pair of numbers m, n ∈ ℕ with m > n , we consider the norm on ℝ3 given by ‖(a, b, c)‖m,n = sup{|ax^m + bx^(m−n)y^n + cy^m| ∶ x, y ∈ [−1, 1]} for every (a, b, c) ∈ ℝ3 . We investigate some geometrical properties of these norms. We provide an explicit formula for ‖ ⋅ ‖m,n , a full description of the extreme points of the corresponding unit balls and a parametrization and a plot of their unit spheres for certain values of mand n.
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/83413
UL https://uvadoc.uva.es/handle/10324/83413
LA eng
NO Banach J. Math. Anal. (2021) 15:61
DS UVaDOC
RD 06-abr-2026