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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Bibliographic Details
Main Author: YUDHI ANGGORO , ANTONIUS
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/18022
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Institution: Institut Teknologi Bandung
Language: Indonesia
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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.