Approximately bisectrix-orthogonality preserving mappings

• Autorzy: Zamani A.

Identyfikatory

DOI

10.14708/cm.v54i2.699

• Języki publikacji: EN

Abstrakty

EN

Regarding the geometry of a real normed space X, we mainly introduce a notion of approximate bisectrix-orthogonality on vectors x,y∈X as follows:... [formula] We study the class of linear mappings preserving the approximately bisectrix-orthogonality ε⊥W. In particular, we show that if T:X→Y is an approximate linear similarity, then x^δ⊥Wy →Tx^θ⊥WTy(x,y∈X) for any δ∈[0,1) and certain θ≥0.

Słowa kluczowe

EN

bisectrix-orthogonality; approximate orthogonality; isometry; orthogonality preserving mapping

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: Vol 54, No. 2
• Strony: 167--176
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Zamani A.

• Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran

Bibliografia

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