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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2022.6
- 수록면
- 271 - 287 (17page)
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In this paper, starting with the geometric constants that can characterize Hilbert spaces, combined with the isosceles orthogonality of Banach spaces, the orthogo nal geometric constant ΩX(α) is defined, and some theorems on the geometric properties of Banach spaces are derived. Firstly, this paper reviews the research progress of orthogo nal geometric constants in recent years. Then, this paper explores the basic properties of the new geometric constants and their relationship with conventional geometric constants, and deduces the identity of ΩX (α) and γX(α). Finally, according to the identities, the relationship between these the new orthogonal geometric constant and the geometric prop erties of Banach Spaces (such as uniformly non-squareness, smoothness, convexity, normal structure, etc.) is studied, and some necessary and sufficient conditions are obtained.
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