Algebraic isomorphisms and strongly double triangle subspace lattices
发布时间：2024-08-09
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- 所属单位：
- 理学院
- 发表刊物：
- Linear algebras and its applications
- 关键字：
- 中文关键字：代数同构；二秩算子；强双三角子空间格，英文关键字：Algebraic isomorphism,Rank two operator; Strongly
- 摘要：
- Let D={{0}, K,L,M,X} be a double triangle subspace lattice on a non-zero complex reflexive Banach space X. It is demonstrated that when the vector sum K+L is closed, every non-zero element S of AlgD is single if and only if S has rank two. Let D_11 and D_2 be double triangle subspace lattices on the Banach spaces X_1 and X_2, respectively. It is also shown that every algebraic isomorphism between AlgD_1 and AlgD_2 is quasi-spatial if the vector sum K^i+L^i is closed, where i=1,2.
- 合写作者：
- 吉国兴
- 第一作者：
- 庞永锋
- 论文类型：
- 期刊论文
- 卷号：
- 卷：
- 期号：
- 期：422
- 页面范围：
- 页：265-273
- 是否译文：
- 否
- 发表时间：
- 2007-05-01
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