庞永锋 Likes:

Affiliation of Author(s):

理学院

Journal:

Linear algebras and its applications

Key Words:

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

Abstract:

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.

Co-author:

吉国兴

First Author:

pangyongfeng

Indexed by:

Journal paper

Volume:

卷：

Issue:

期：422

Page Number:

页：265-273

Translation or Not:

no

Date of Publication:

2007-05-01