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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id-itb.:717202023-02-22T08:32:46ZCONVEXITY OF 2-NORMED SPACES Widyatma, Leo Indonesia Theses 2-normed space, strictly convex 2-normed space.. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/71720 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. text |
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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. |
format |
Theses |
author |
Widyatma, Leo |
spellingShingle |
Widyatma, Leo CONVEXITY OF 2-NORMED SPACES |
author_facet |
Widyatma, Leo |
author_sort |
Widyatma, Leo |
title |
CONVEXITY OF 2-NORMED SPACES |
title_short |
CONVEXITY OF 2-NORMED SPACES |
title_full |
CONVEXITY OF 2-NORMED SPACES |
title_fullStr |
CONVEXITY OF 2-NORMED SPACES |
title_full_unstemmed |
CONVEXITY OF 2-NORMED SPACES |
title_sort |
convexity of 2-normed spaces |
url |
https://digilib.itb.ac.id/gdl/view/71720 |
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1822992248991645696 |