Comparison of Some Notions of Orthogonality in Banach Spaces
1 Department of Basic Sciences, Babcock University, Ilishan-Remo, Ogun State, Nigeria
2 University of Ilorin, Nigeria
* Corresponding author: kanur@babcock.edu.ng
2 University of Ilorin, Nigeria
* Corresponding author: kanur@babcock.edu.ng
Abstract
Orthogonality concept is a powerful mathematical tool that
makes possible the formulation of some mathematical conjectures
to prove some important theorems in Mathematics for the
solution of real and imaginary problems. There are different
notions of orthogonality in normed linear spaces. The concept
of orthogonality has certain properties- symmetry, homogeneity,
additivity and so on. In this work, the properties of orthogonality
as applied to normed linear spaces are investigated and the com
parisons between the different notions of orthogonality are shown.
Keywords
Orthogonality
Semi-inner product
Homogeneity
Additivity
Symmetry
Orthonormal
How to Cite
Kann, R. U., RAUF, K., Bamisile, O. O., Adio, A. K., & Adelodun, J. F. (2021). Comparison of Some Notions of Orthogonality in Banach Spaces. Nigerian Journal of Mathematics and Applications, 31(1), 1−21. https://doi.org/10.67897/njma.2021.0ch8iftv
R. U. Kann, K. RAUF, O. O. Bamisile, A. K. Adio, and J. F. Adelodun, "Comparison of Some Notions of Orthogonality in Banach Spaces," Nigerian Journal of Mathematics and Applications, vol. 31, no. 1, pp. 1−21, July 2021. doi: 10.67897/njma.2021.0ch8iftv
