The Additive Operator Preserving Birkhoff Orthogonal

• 作者: Sanxing Guo
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: BIRKHOFF ORTHOGONAL ADDITIVE OPERATOR SMOOTH Point
• 年，卷（期）: 2019,（3）
• 页码范围: 505-512
• 页数: 8页
• 分类号: O1

摘要

The Birkhoff orthogonal plays an important role in the geometric study of Banach spaces. It has been con rmed that a Birkhoff orthogonality preserving linear operator between two normed linear spaces must necessarily be a scalar multiple of a linear isometry. In this paper, the author gives a new result that a Birkhoff orthogonality preserving additive operator between two-dimensional normed linear spaces is necessarily a scalar multiple of a linear isometry.