On (a,b,c,d)-orthogonality in normed linear spaces

C.-S. Lin. "On (a,b,c,d)-orthogonality in normed linear spaces." Colloquium Mathematicae 103.1 (2005): 1-10. <http://eudml.org/doc/284078>.

@article{C2005,
abstract = {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 α- and (α,β)-orthogonalities. Then we characterize inner product spaces in several ways, among others, in terms of one orthogonality implying another orthogonality.},
author = {C.-S. Lin},
journal = {Colloquium Mathematicae},
keywords = {normed linear space; isosceles orthogonality; Pythagorean orthogonality; -orthogonality; (; ; (; b; c; d; inner product space},
language = {eng},
number = {1},
pages = {1-10},
title = {On (a,b,c,d)-orthogonality in normed linear spaces},
url = {http://eudml.org/doc/284078},
volume = {103},
year = {2005},
}

TY - JOUR
AU - C.-S. Lin
TI - On (a,b,c,d)-orthogonality in normed linear spaces
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 1
EP - 10
AB - 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 α- and (α,β)-orthogonalities. Then we characterize inner product spaces in several ways, among others, in terms of one orthogonality implying another orthogonality.
LA - eng
KW - normed linear space; isosceles orthogonality; Pythagorean orthogonality; -orthogonality; (; ; (; b; c; d; inner product space
UR - http://eudml.org/doc/284078
ER -