References
- Birkhoff G. Orthogonality in linear metric spaces. Duke Math J. 1935;1:169–172.
- James RC. Inner product in normed linear spaces. Bull Amer Math Soc. 1947;53:559–566.
- James RC. Orthogonality and linear functionals in normed linear spaces. Trans Amer Math Soc. 1947;61:265–292.
- Giles JR. Classes of semi-inner-product spaces. Trans Amer Math Soc. 1967;129:436–446.
- Lumer G. Semi-inner-product spaces. Trans Amer Math Soc. 1961;100:29–43.
- Chidume C. Duality maps in banach spaces. In: Geometric properties of banach spaces and nonlinear iterations. vol. 1965. London: Springer; 2009. p. 19–28.
- Sain D. On the norm attainment set of a bounded linear operator and semi-inner-products in normed spaces. Indian J Pure Appl Math. 2020;51(1):179–186.
- Sain D, Paul K, Mandal K. On two extremum problems related to the norm of a bounded linear operator. Oper Matrices. 2019;13(2):421–432.
- Nilsrakoo W, Saejung S. The James constant of normalized norms on R2. J Inequal Appl. 2006;2006:026265. doi:10.1155/JIA/2006/26265.
- Alonso J. Any two-dimensional normed space is a generalized Day-James space. J Inequal Appl. 2011;2011:2. doi:10.1186/1029-242X-2011-2.
- Sain D, Paul K. Operator norm attainment and inner product spaces. Linear Algebra Appl. 2013;439:2448–2452.
- Benítez C, Fernández M, Soriano ML. Orthogonality of matrices. Linear Algebra Appl. 2007;422:155–163.
- Sain D. On the norm attainment set of a bounded linear operator. J Math Anal Appl. 2018;457:67–76.