JAMES CONSTANT AND UNS PROPERTIES
James constant for a normed space X, denoted by J(X), is a constant that measures p uniformly nonsquareness for X. In this thesis we will prove that J(`2) = 2; J(`1) = 2; J(`1) = 2, and J(`p) = maxf21=p; 21????1=pg. It will also be proven if J(X) > 2, then X is UNS.
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/38884 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | James constant for a normed space X, denoted by J(X), is a constant that
measures p uniformly nonsquareness for X. In this thesis we will prove that J(`2) =
2; J(`1) = 2; J(`1) = 2, and J(`p) = maxf21=p; 21????1=pg. It will also be proven
if J(X) > 2, then X is UNS. |
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