INNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT
This thesis discusses a construction of an inner product on a quotient of tensor prod- uct induced by standard generalized 2-inner product. It is done as a part of studying generalized 2-inner product by inner product on quotient of tensor product. Generally, a generalized 2-inner product only in...
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| Online Access: | https://digilib.itb.ac.id/gdl/view/18022 |
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id-itb.:180222017-09-27T14:41:48ZINNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT YUDHI ANGGORO , ANTONIUS Indonesia Theses tensor product, bilinear map, canonical angle, inner product, standard generalized 2-inner product. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/18022 This thesis discusses a construction of an inner product on a quotient of tensor prod- uct induced by standard generalized 2-inner product. It is done as a part of studying generalized 2-inner product by inner product on quotient of tensor product. Generally, a generalized 2-inner product only induce bilinear semi positive denite. It means that we need to construct a quotient of tensor product to get an inner product. Further, this thesis also discusses a generalization of relation between inner product, norm of vector, and angle between two vectors, in generalized 2-inner product context. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
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This thesis discusses a construction of an inner product on a quotient of tensor prod-
uct induced by standard generalized 2-inner product. It is done as a part of studying
generalized 2-inner product by inner product on quotient of tensor product. Generally,
a generalized 2-inner product only induce bilinear semi positive denite. It means that
we need to construct a quotient of tensor product to get an inner product. Further, this
thesis also discusses a generalization of relation between inner product, norm of vector,
and angle between two vectors, in generalized 2-inner product context. |
| format |
Theses |
| author |
YUDHI ANGGORO , ANTONIUS |
| spellingShingle |
YUDHI ANGGORO , ANTONIUS INNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT |
| author_facet |
YUDHI ANGGORO , ANTONIUS |
| author_sort |
YUDHI ANGGORO , ANTONIUS |
| title |
INNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT |
| title_short |
INNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT |
| title_full |
INNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT |
| title_fullStr |
INNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT |
| title_full_unstemmed |
INNER PRODUCT ON QUOTIENT SPACE OF TENSOR PRODUCT INDUCED BY STANDARD 2-INNER PRODUCT |
| title_sort |
inner product on quotient space of tensor product induced by standard 2-inner product |
| url |
https://digilib.itb.ac.id/gdl/view/18022 |
| _version_ |
1820745760123125760 |