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New Kind of orthogonality in Normed spaces by using ϼ* -orthogonality [version 2; peer review: 2 approved, 1 approved with reservations]

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When:
May 27, 2026 · 4:36 AM
Source:
F1000Research

Orthogonality is an important concept in normed spaces, and many generalizations of this concept have been proposed. In this paper, we introduce a new concept of orthogonality in normed spaces, denoted by ϼ LM -orthogonality, which is related to ϼ ∗ -orthogonality. The fundamental properties of this new concept are systematically analyzed, including symmetry, non-negativity, scalar homogeneity, linear independence of orthogonal vectors, the Cauchy–Schwarz type inequality, the zero property, and

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