Suppose X is a Banach space and $x_1,...,x_n$ are linearly independent vectors. Can we find some sort of lower bound for $||\sum x_i||$? What about if we restict ourselves to normalised vectors?
2026-04-18 18:30:55.1776537055
Lower Bound on Norm of Sum of Linearly Independent Vectors in a Banach Space
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