A convex function on $R^n$ is continuous. Does the result hold on infinite dimension on a Hilbert/Banach space ?
is a convex function continuous on a hilbert space?
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hilbert-spaces
convex-optimization
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0[this](http://math.stackexchange.com/questions/842527/continuity-of-bounded-and-convex-function-on-hilbert-space) is possible a duplicate? – 2017-02-19
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0@RanWang almost but there is a bounded assumption on the question in your link, not in mine – 2017-02-20