The Index of Invariant Subspaces of Bounded below Operators on Banach Spaces

• 作 者: George Chailos
• 机 构: DepartmentofComputerScience
• 出 处: 理论数学进展(英文)
• 发表日期: 2012年2期
• 关键词: INDEX INVARIANT SUBSPACES BOUNDED below OPERATORS BANACH Spaces Index Invariant

For an operator on a Banach space , let be the collection of all its invariant subspaces. We consider the index function on and we show, amongst others, that if is a bounded below operator and if , , then If in addition are index 1 invariant subspaces of