Complemented basic sequences in Frechet spaces with finite dimensional decomposition
Abstract
Let E be a Frechet-Montel space and (En)n ∈ N be a finite dimensional unconditional decomposition of E with (En)≤ k for some fixed k ∈ N and for all n ∈ N. Consider a sequence (xn)n ∈ N formed by taking an element xn from each En for all n ∈ N. Then (xn)n ∈ N has a subsequence which is complemented in E
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