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    Functional analysis convergence question

    If X is Banach space and F:X \rightarrow X is a linear and bounded map and that F^n(x)\rightarrow0 pointwise .. How can I show that it converges to zero uniformly also? Thanks
    • iceblue
    • Thread
    • Analysis Convergence Functional Functional analysis
    • Replies: 1
    • Forum: Calculus
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