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oai:docta.ucm.es:20.500.14352/501952025-04-08T14:28:53Zcom_20.500.14352_14col_20.500.14352_15

Muñoz-Fernández, Gustavo A. Seoane Sepúlveda, Juan Benigno 2023-06-20T09:41:37Z 2023-06-20T09:41:37Z 2008-04-15 0022-247X 10.1016/j.jmaa.2007.09.010 https://hdl.handle.net/20.500.14352/50195 http://www.sciencedirect.com/science/article/pii/S0022247X07011237 http://www.sciencedirect.com/ 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. eng restricted access Geometry of Banach spaces of trinomials journal article