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Finding Minimum Distance on Birkhoff-James Orthogonality in Banach Space Susilo Hariyanto; Titi Udjiani; Yuri C Sagala; Muhammad Rafid Fadil
EKSAKTA: Journal of Sciences and Data Analysis VOLUME 1, ISSUE 2, August 2020
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20885/EKSAKTA.vol1.iss2.art5

Abstract

In this paper we define orthogonality concept on Banach space. That is called Birkhoff-Jamesorthogonality. Some new problem about the correlation of orthogonality between Hilbert space and Birkhoff-James were discussed. Correlation investigated by using particular norm. In other side, correlation of minimum distance in Banach space and Birkhoff-James orthogonality also discussed, by generalizing minimum distance in Hilbert spaceĀ