CONVEXITY OF 2-NORMED SPACES
The concept of 2? normed space was introduced by G¨ahler in 1964. Many notions in normed space have been extended to 2-normed space by many researchers for instance, convexity. In 1974, C. Diminnie and A. White defined uniformly convex 2-normed spaces and strictly convex 2-normed spaces. However,...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/71720 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | The concept of 2? normed space was introduced by G¨ahler in 1964. Many notions
in normed space have been extended to 2-normed space by many researchers
for instance, convexity. In 1974, C. Diminnie and A. White defined uniformly convex
2-normed spaces and strictly convex 2-normed spaces. However, the definition
given by Diminnie and White does not provide a clear geometric interpretation.
This thesis will redefine strictly convex 2-normed space, especially for standard 2-
normed spaces. |
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