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Mar 24, 2014 at 7:33 comment added Jochen Wengenroth There are always a continuous selection and linear selection (playing with Hamel bases) but of course not always a continuous linear one.
Mar 23, 2014 at 1:19 history edited Ali Taghavi
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Mar 23, 2014 at 1:11 vote accept Ali Taghavi
Mar 23, 2014 at 0:45 answer added Mirko timeline score: 2
Mar 23, 2014 at 0:33 comment added Yemon Choi See math.stackexchange.com/questions/411119/…
Mar 23, 2014 at 0:27 comment added Yemon Choi The title is not very apt: the previous comment explains why. Your question is equivalent to: "is a closed subspace of a Banach space always complemented?" and the answer is "usually no".
Mar 23, 2014 at 0:22 comment added Mirko Would the following be an answer? There is no bounded linear 1-1 mapping $\ell^\infty/c_0 \to \ell^\infty$ Corollary 20 in link
Mar 22, 2014 at 23:34 history edited Ali Taghavi CC BY-SA 3.0
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Mar 22, 2014 at 23:17 history asked Ali Taghavi CC BY-SA 3.0