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Directional Uniform Rotundity in Spaces of Essentially Bounded Vector Functions
Authors:Manuel Ferná  ndez   Isidro Palacios
Affiliation:Departamento de Matematicas, Universidad de Extremadura, 06071 Badajoz, Spain ; Departamento de Matematicas, Universidad de Extremadura, 06071 Badajoz, Spain
Abstract:A formula is given for the directional uniform rotundity modulus of $L_{infty }(X)$, where $X$ is a normed space. Then a necessary and sufficient condition is provided for $L_{infty }(X)$ to be uniformly rotund in a direction.

Keywords:Uniform rotundity   bounded vector function spaces
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