Been doing exercises on compactness/sequential compactness of objects in Banach spaces and some of my solutions come down to whether(adsbygoogle = window.adsbygoogle || []).push({}); holds in "every bounded sequence has a convergent subsequence"

a) arbitrary finite-dimensional Banach space

b) l^{p}, 1 <= p <= infinity

Does it?

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# Compactness/convergence in Banach spaces

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