ORTHOGONALITAS-BIRKHOFF
In this final project, we study on an orthogonality in real normed spaces in the sense of Birkhoff. The Brikhoff-orthogonality is a generalization of the orthogonality in inner product spaces. Definition of orthogonality in a real inner product space equivalent to the Birkhoff-orthogonality. There a...
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| Main Authors: | , |
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| 格式: | Theses and Dissertations NonPeerReviewed |
| 出版: |
[Yogyakarta] : Universitas Gadjah Mada
2014
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| 主題: | |
| 在線閱讀: | https://repository.ugm.ac.id/127776/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=68055 |
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| 總結: | In this final project, we study on an orthogonality in real normed spaces in
the sense of Birkhoff. The Brikhoff-orthogonality is a generalization of the orthogonality
in inner product spaces. Definition of orthogonality in a real inner product
space equivalent to the Birkhoff-orthogonality. There are weaker concepts of inner
product that are Lumer-Giles semi-inner product and superior-inferior semi-inner
product. In this final project we also study relation between Birkhoff-orthogonality
and orthogonality in Lumer-Giles semi-inner products and superior-inferior semiinner
product. At the end, we present the relation between Birkhoff-orthogonality
and linear functional. |
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