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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
|
| Subjects: | |
| Online Access: | 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universitas Gadjah Mada |
| Summary: | 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. |
|---|