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Invariant subspace theorems for amenable groups

Invariant subspace theorems for amenable groups

In [ 5 ], Ky Fan proved the following remarkable amenability ā€œinvariant subspaceā€ theorem: Let G be an amenable group of continuous, invertible linear operators acting on a locally convex space E. Let H be a closed subspace of finite codimension n in E and XāŠ‚E be such that: (i) ā€¦