ORTHOGONALITAS-BIRKHOFF

• Main Authors: , BESTARI RATNA AYU SAHESTI, , Dr. Atok Zulijanto, M.Si.
• Format: Theses and Dissertations NonPeerReviewed
• Published: [Yogyakarta] : Universitas Gadjah Mada 2014
• Subjects: ETD
• 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
• Institution: Universitas Gadjah Mada

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.