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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Format: | Theses |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/18022 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | 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. |
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