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Directional Uniform Rotundity in Spaces
of Essentially Bounded Vector Functions

Authors: Manuel Fernández and Isidro Palacios
Journal: Proc. Amer. Math. Soc. 125 (1997), 1323-1328
MSC (1991): Primary 46B20
MathSciNet review: 1350942
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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

Manuel Fernández
Affiliation: Departamento de Matematicas, Universidad de Extremadura, 06071 Badajoz, Spain

Isidro Palacios
Affiliation: Departamento de Matematicas, Universidad de Extremadura, 06071 Badajoz, Spain

Keywords: Uniform rotundity, bounded vector function spaces
Received by editor(s): May 8, 1995
Received by editor(s) in revised form: August 15, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society

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