数学杂志2024，Vol.44Issue(2)：182-188,7.
Banach空间中的有界算子4子空间系统
BOUNDED OPERATOR FOUR SUBSPACE SYSTEMS IN BANACH SPACES
摘要
Abstract
This paper studies the bounded operator four subspaces systems ST in Banach spaces.It shows that ST and ST'are isomorphic if and only if T and T'are similar.It also shows that ST is indecomposable if and only if T is strongly irreducible.Finally,it shows that when the conjugate space X*of Banach space X is w*separable,there is an uncountable family of indecomposable bounded operator four subspace systems in X ⊕ X which are not isomorphic each other.These results are the generalizations and supplements of the corresponding results on Hilbert spaces to Banach spaces.关键词
Banach空间/有界算子系统/4子空间系统/强不可约算子Key words
Banach spaces/bounded operator systems/four subspace systems/strongly irreducible operators分类
数理科学引用本文复制引用
陈剑岚,阙佳华,张云南..Banach空间中的有界算子4子空间系统[J].数学杂志,2024,44(2):182-188,7.基金项目
国家自然科学基金资助(11971108). （11971108）
