Work

Orthogonality of skew type and characterization of inner product spaces

Year: 2024

Type: article

Abstract: In this paper, we investigate the generalization of Hermite-Hadamard-type orthogonality within skew structures. Moslehian and Rassias (Commun Math Anal 8:16–21, 2010) characterized inner product spaces by employing the parallelogram law for skew structures in their research. We introduce the concept of skew orthogonality by integrating the parallelogram law of skew structures with Hermite-Hadamard-type orthogonality and discuss its properties. Finally, we characterize inner product spaces using mappings that preserve skew orthogonality.

Source: Arabian Journal of Mathematics

DOI: 10.1007/s40065-024-00483-y

Authors: Jinyu Xia, Qi Liu, Yuxin Wang, Wenhui Xu, Yongmo Hu, Yongjin Li

Institutions: Anqing Normal University, Sun Yat-sen University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4404542382

FWCI:

Cites: 16

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Related to: 10