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arxiv: 1210.5557 · v1 · pith:XMGPYPACnew · submitted 2012-10-19 · 🧮 math.OA

Applications of fixed point theorems in the theory of invariant subspaces

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keywords fixedinvariantpointsubspacesapplicationstheoremstheoryapplied
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We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the existence of invariant subspaces for an operator on a Banach space.

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