On p-height orthogonality and characterization of inner product spaces

作     者：Heidarirad, Somaye Jahanipur, Ruhollah Dehghani, Mahdi 

作者机构：Univ Kashan Fac Math Sci Dept Pure Math Kashan Iran 

出 版 物：《JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS》 (J. Math. Anal. Appl.)

年 卷 期：2025年第543卷第2期

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Inner product space p -height orthogonality Height orthogonality Singer orthogonality Birkhoff-James orthogonality Characterization of inner product spaces 

摘      要：In this paper, we introduce and study the concept of p-height orthogonality in real normed linear spaces. This orthogonality generalizes the well-known Singer and height orthogonalities. First, we investigate main properties of this type of orthogonality. Then, variety of examples are presented to illustrate the relationship between p-height orthogonality and other previously defined (e.g., isosceles, Singer, height and Birkhoff-James) orthogonalities. Also we investigate the existence properties of this new notion of orthogonality. In particular, alpha-existence property is established and some interesting bounds for the values of alpha are obtained. Moreover, some characterizations of inner product spaces are given in terms of p-height orthogonality and its relation with Pythagorean and Birkhoff-James orthogonalities. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data