Operators reversing b-Birkhoff orthogonality in 2-normed linear spaces

Subject Areas : Abstract harmonic analysis

R. Pirali ¹ , M. Momeni ²

1 - Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
2 - Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

Received: 2020-06-20 Accepted : 2020-12-30 Published : 2020-12-01

Keywords: b-Birkhoff orthogonal, 2-functionals, 2-hyperplane, 2-inner product, 2-normed linear spaces,

Abstract :

In this paper, we discuss the relationships between 2-functionals and existence of b-Birkhoff orthogonal elements in 2-normed linear spaces. Moreover, we obtain some characterizations of 2-inner product spaces by b-Birkhoff orthogonality. Then we study the operators reversing b-Birkhoff orthogonality in 2-normed linear spaces.

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