I am looking for an example of a Banach space $B$ such that $B$ is not reflexive but the quotient space $B/C$ is reflexive, for $C$ a closed subspace, $C\subsetneq B.$
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See this (and this). – David Mitra May 03 '21 at 17:33
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1You could also take $C$ to have finite co-dimension. – David Mitra May 03 '21 at 17:39
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1Or look at $l_1\oplus l_2$. – David Mitra May 03 '21 at 17:52