The second dual or double dual of the space of all continuous functions on $[0,1]$, $C[0,1]$ is von Neumann algebra. Can anyone help me identifying this space?
Double dual of the space $C[0,1]$
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functional-analysis
operator-theory
operator-algebras
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9Sion, what have you tried so far and what are your thoughts on the problem? – 2011-06-25
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1I think Rasmus asks a good question: it's possible to give rather abstract answers: e.g. it's $C(K)$ where $K$ is the hyperstonian spectrum of $C[0,1]^{**}$. I suspect this is not the sort of answer you want; so some hints as to what you mean by "identify" would really help... – 2011-12-06
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1SION, please check Diestel's "Sequences and series in Banach spaces" . – 2011-12-07
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0See http://math.stackexchange.com/a/74877/442 – 2014-02-05