ISOMETRI PADA RUANG BERNORMA-n DAN RUANG BERNORMA-n NON-ARCHIMEDIAN
Mapping the norm . : X � , can be expanded to become the norm-n, withX more than n-1 dimensional , and called the n-normed spaces. For n = 2, 2- normon 2-normed spaces, can be interpreted asbroad. While n-norm on nnormed space can be interpreted as the volume paralelpipedium. Valuation on a real f...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2012
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| Summary: | Mapping the norm . : X � , can be expanded to become the norm-n, withX
more than n-1 dimensional , and called the n-normed spaces. For n = 2, 2-
normon 2-normed spaces, can be interpreted asbroad. While n-norm on nnormed
space can be interpreted as the volume paralelpipedium. Valuation on
a real field can be made specifically to the valuationof non-archimedian.
Real normed space constructed by the vector space with the valuation of non-
Archimedian field called non-Archimedian normed spaces. In thennormed
spaces there are two concepts isometry, ie. n-isometry and weaknisometry.
Further discussion regarding the terms sufficient to meet
the isometry mapping a weakand n-isometry. Discussion of the concept
of isometry on n-normed spaces non-Archimedian, discussed about the concept
of weak n-isometry preserves the midpoint and the triangle barycenter
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