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...
| Main Authors: | , |
|---|---|
| Format: | Thesis |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
|
| Subjects: |
| _version_ | 1797034846662426624 |
|---|---|
| author | , BESTARI RATNA AYU SAHESTI , Dr. Atok Zulijanto, M.Si. |
| author_facet | , BESTARI RATNA AYU SAHESTI , Dr. Atok Zulijanto, M.Si. |
| author_sort | , BESTARI RATNA AYU SAHESTI |
| collection | UGM |
| description | 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. |
| first_indexed | 2024-03-13T23:18:22Z |
| format | Thesis |
| id | oai:generic.eprints.org:127776 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T23:18:22Z |
| publishDate | 2014 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1277762016-03-04T07:53:18Z https://repository.ugm.ac.id/127776/ ORTHOGONALITAS-BIRKHOFF , BESTARI RATNA AYU SAHESTI , Dr. Atok Zulijanto, M.Si. ETD 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. [Yogyakarta] : Universitas Gadjah Mada 2014 Thesis NonPeerReviewed , BESTARI RATNA AYU SAHESTI and , Dr. Atok Zulijanto, M.Si. (2014) ORTHOGONALITAS-BIRKHOFF. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=68055 |
| spellingShingle | ETD , BESTARI RATNA AYU SAHESTI , Dr. Atok Zulijanto, M.Si. ORTHOGONALITAS-BIRKHOFF |
| title | ORTHOGONALITAS-BIRKHOFF |
| title_full | ORTHOGONALITAS-BIRKHOFF |
| title_fullStr | ORTHOGONALITAS-BIRKHOFF |
| title_full_unstemmed | ORTHOGONALITAS-BIRKHOFF |
| title_short | ORTHOGONALITAS-BIRKHOFF |
| title_sort | orthogonalitas birkhoff |
| topic | ETD |
| work_keys_str_mv | AT bestariratnaayusahesti orthogonalitasbirkhoff AT dratokzulijantomsi orthogonalitasbirkhoff |