NORM RETRIEVAL BY PROJECTIONS ON INFINITE-DIMENSIONAL HILBERT SPACES

• 作者: Yan Zhou
• 来源期刊: 应用数学年刊：英文版
• 学科: 物理学
• 年，卷（期）: 2017,（3）
• 页码范围: 324-330
• 页数: 7页
• 分类号: O4

摘要

We study the norm retrieval by projections on an infinite-dimensional Hilbert space H. Let {e_i}_(i∈I)be an orthonormal basis in H and W_i= {e_i}~⊥for all i ∈ I. We show that {W_i}_(i∈I)does norm retrieval if and only if I is an infinite subset of N. We also give some properties of norm retrieval by projections.