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Anupam
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Quotient space of a locally uniformly rotund space

If $X$ is a uniformly rotund space , then for any closed subspace $M$ of $X$, $X/M$ is uniformly rotund. Does this hold for a locally uniformly rotund space? That is if $X$ is locally uniformly rotund, is it true that $X/M$ is locally uniformly rotund? I couldn't prove it nor could I found a counter example to disprove this. Can anyone please help me out?

Anupam
  • 585
  • 2
  • 10