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Directional Uniform Rotundity in Spaces of Essentially Bounded Vector Functions
Author(s):
Manuel
Fernández;
Isidro
Palacios
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1323-1328.
MSC (1991):
Primary 46B20
MathSciNet review:
1350942
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Abstract:
A formula is given for the directional uniform rotundity modulus of  , where  is a normed space. Then a necessary and sufficient condition is provided for  to be uniformly rotund in a direction.
References:
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Additional Information:
Manuel
Fernández
Affiliation:
Departamento de Matematicas, Universidad de Extremadura, 06071 Badajoz, Spain
Email:
ghierro@ba.unex.es
Isidro
Palacios
Affiliation:
Departamento de Matematicas, Universidad de Extremadura, 06071 Badajoz, Spain
DOI:
10.1090/S0002-9939-97-03579-X
PII:
S 0002-9939(97)03579-X
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
Copyright of article:
Copyright
1997,
American Mathematical Society
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