Geodesic
On $(a,b,c,d)$-orthogonality in normed linear spaces
C.-S. Lin1
1 Department of Mathematics Bishop's University Lennoxville, Quebec Canada J1M 1Z7
Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 1-10.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We first introduce a notion of $(a,b,c,d)$-orthogonality in a normed linear space, which is a natural generalization of the classical isosceles and Pythagorean orthogonalities, and well known $\alpha $- and $(\alpha ,\beta )$-orthogonalities. Then we characterize inner product spaces in several ways, among others, in terms of one orthogonality implying another orthogonality.
DOI : 10.4064/cm103-1-1
Keywords: first introduce notion d orthogonality normed linear space which natural generalization classical isosceles pythagorean orthogonalities known alpha alpha beta orthogonalities characterize inner product spaces several ways among others terms orthogonality implying another orthogonality

C.-S. Lin 1

1 Department of Mathematics Bishop's University Lennoxville, Quebec Canada J1M 1Z7 
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C.-S. Lin. On $(a,b,c,d)$-orthogonality in normed linear spaces. Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 1-10. doi : 10.4064/cm103-1-1. http://geodesic.mathdoc.fr/articles/10.4064/cm103-1-1/

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