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

• Autorzy: C.-S. Lin
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 1
• Strony: 1-10

Daty

wydano

2005

Twórcy

autor

C.-S. Lin

• Department of Mathematics, Bishop's University, Lennoxville, Quebec, Canada J1M 1Z7

Identyfikatory

DOI

10.4064/cm103-1-1