On -orthogonality in normed linear spaces
Tom 103 / 2005
Colloquium Mathematicum 103 (2005), 1-10
MSC: Primary 46C05, 46C10.
DOI: 10.4064/cm103-1-1
Streszczenie
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.
