Surjective L2-isometries on the Pro jection Lattice

• 作者: Li Guang WANG Wen Ming WU Wei YUAN
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（5）
• 页码范围: 825-834
• 页数: 10页
• 语种: 英文

摘要

Recently, Gehér and ?emrl have characterized the general form of surjective isometries of the set of all projections on an infinite-dimensional separable Hilbert space using unitaries and antiunitaries. In this paper, we study the surjective L2-isometries of the projection lattice of an infinite dimensional Hilbert space and show that every such isometry can also be described by unitaries and antiunitaries.