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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主要作者: YUDHI ANGGORO , ANTONIUS
格式: Theses
語言:Indonesia
在線閱讀:https://digilib.itb.ac.id/gdl/view/18022
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機構: Institut Teknologi Bandung
語言: Indonesia
id id-itb.:18022
spelling 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
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description 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_ 1823632842770350080