#TITLE_ALTERNATIVE#
Inner product space has properties cause we make define area of parallelepiped that be formed by vectors in inner product space. In arbitrary inner product space we can define norm of vector. Then, each inner product space is norm space. Unfortunately, generally norm space is not inner product space...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/11539 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Inner product space has properties cause we make define area of parallelepiped that be formed by vectors in inner product space. In arbitrary inner product space we can define norm of vector. Then, each inner product space is norm space. Unfortunately, generally norm space is not inner product space. It's cause definition of area of parallelepiped in norm space different with definition of parallelepiped in inner product space. We have two different definitions about area of parallelepiped in norm space. Those are introduced by Gunawan and Gahler. This final project study about equivalence of Gunawan and Gahler definitions, especially in L2 space. We have already known L2 space is inner product space. <br />
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