INNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES
On an inner product space with dimension greater than or equal to n, the inner product can generate a standard n-inner product. Conversely, the standard n-inner product can induce a new inner product on that space. In this thesis, we study about the relation of the original inner product and the...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/53702 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | On an inner product space with dimension greater than or equal to n, the inner
product can generate a standard n-inner product. Conversely, the standard n-inner
product can induce a new inner product on that space. In this thesis, we study about
the relation of the original inner product and the new inner product. Considering
that the inner product defines orthogonality, we would like to know whether or
not the orthogonality with respect to the original inner product is equivalent to the
ortogonality with respect to the new inner product. |
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