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Denting Points and Drop Properties in Orlicz Spaces

✍ Scribed by Bor-Luh Lin; Zhongrui Shi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
223 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis

On the unit ball of an Orlicz function space the denting points, weak U denting points, and quasi-denting points coincide. But on the unit ball of an Orlicz sequence space the quasi-denting points are different from the denting points and weak U denting points. We also show that the weak U drop property and the Kadec᎐Klee property are equivalent in Orlicz spaces. Hence the weak drop property and the weak U drop property are independent properties in Banach spaces.

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