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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Main Author: Widyatma, Leo
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/71720
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:71720
spelling 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
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description 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
_version_ 1822992248991645696