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G. Chailos, “Algebraic Properties of the Index of Invariant Subspaces of Operators on Banach Spaces,” Bulletin of the Irish Mathematical Society, Vol. 61, 2008, pp. 9- 13.

has been cited by the following article:

• TITLE: The Index of Invariant Subspaces of Bounded below Operators on Banach Spaces

  AUTHORS: George Chailos

  KEYWORDS: Index; Invariant Subspaces; Bounded below Operators; Banach Spaces

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.2, March 22, 2012

  ABSTRACT: 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 , with nonzero intersection, we show that . Furthermore, using the index function, we provide an example where for some , holds .