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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id-itb.:537022021-03-09T08:58:02ZINNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES Giovanni Rante, Steven Indonesia Theses Inner Product , n-Inner Product, Standart n-Inner Product, Orthogonal Basis Sets. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/53702 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. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
| description |
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. |
| format |
Theses |
| author |
Giovanni Rante, Steven |
| spellingShingle |
Giovanni Rante, Steven INNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES |
| author_facet |
Giovanni Rante, Steven |
| author_sort |
Giovanni Rante, Steven |
| title |
INNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES |
| title_short |
INNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES |
| title_full |
INNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES |
| title_fullStr |
INNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES |
| title_full_unstemmed |
INNER PRODUCTS INDUCED FROM THE STANDART N-INNER PRODUCT ON AN INNER PRODUCT SPACES |
| title_sort |
inner products induced from the standart n-inner product on an inner product spaces |
| url |
https://digilib.itb.ac.id/gdl/view/53702 |
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1822929399964499968 |