On linear operators that preserve BJ-orthogonality in 2-normed space

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IRANMANESH M.; Ganjbakhsh Sanatee a.

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2021 | Volume:15 | Issue:1 Page(s): 29-40

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Title

On linear operators that preserve BJ-orthogonality in 2-normed space

Author(s)

IRANMANESH M. | Ganjbakhsh Sanatee a. | Issue Writer Certificate

Keywords

Normed space

Birkhoff

James orthogonality

Banach space

isometry

Abstract

Let X be a real 2-Banach space. We follow Gunawan, Mashadi, Gemawati, Nursupiamin and Siwaningrum in saying that x is orthogonal to y if there exists a subspace V of X with codim(V ) = 1 such that ∥, x+λ, y,z∥,≥,∥, x,z∥,for every z ∈,V and λ,∈,R. In this paper we prove that every linear self mapping T: X →,X which preserve orthogonality is a 2-isometry multiplied by a constant.

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APA: Copy

IRANMANESH, M., & Ganjbakhsh Sanatee, a.. (2021). On linear operators that preserve BJ-orthogonality in 2-normed space. JOURNAL OF MATHEMATICAL EXTENSION, 15(1), 29-40. SID. https://sid.ir/paper/1065181/en

Vancouver: Copy

IRANMANESH M., Ganjbakhsh Sanatee a.. On linear operators that preserve BJ-orthogonality in 2-normed space. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2021;15(1):29-40. Available from: https://sid.ir/paper/1065181/en

IEEE: Copy

M. IRANMANESH, and a. Ganjbakhsh Sanatee, “On linear operators that preserve BJ-orthogonality in 2-normed space,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 15, no. 1, pp. 29–40, 2021, [Online]. Available: https://sid.ir/paper/1065181/en

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