A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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Why this space is not a complete space with this normWhy isometric isomorphic between Banach spaces means we can identify them?
How to verify whether $(C_{00},\|\cdot\|_p)$ is complete
$C_c^0(\Omega)$ is not Banach!?! Also density requires completeness?
Can a space have both a conditional and an unconditional basis?
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