Timeline for Metrization of weak convergence of signed measures
Current License: CC BY-SA 3.0
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Jan 30, 2013 at 12:07 | comment | added | Martin | It seems easier to argue that $X^\ast$ has uncountable dimension as a vector space. Every weak*-neighborhood contains a linear subspace of finite codimension, so the intersection of countably many $0$-neighborhoods contains a subspace of countable codimension, in particular it can't be reduced to $\{0\}$. | |
Jan 30, 2013 at 11:32 | history | answered | Jochen Wengenroth | CC BY-SA 3.0 |