Area orthogonality in normed linear spaces
A new concept of orthogonality in real normed linear spaces is introduced. Typical properties of orthogonality (homogeneity, symmetry, additivity, \dots) and relations between this orthogonality and other known orthogonalities (Birkhoff, Boussouis, unitary-Boussouis and Diminnie) are studied. In particular, some characterizations of inner product spaces are obtained.
scientific article; zbMATH DE number 950064
scientific article