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Aug 14, 2012 at 13:57 comment added Algernon The question was under what reasonable conditions $A_u$ or $A_a$ is the same as the closure of the linear span of $A$. But in case $A$ is a linear subspace itself (which was my primary interest), the answer is trivial as Wolfgang pointed out. Thanks for your time.
Aug 14, 2012 at 13:51 vote accept Algernon
Aug 14, 2012 at 9:33 answer added Wolfgang Loehr timeline score: 4
Aug 14, 2012 at 8:39 comment added Yemon Choi Just to clarify: we can define linear subspaces $A_u$ and $A_a$ where the former consists of all unconditionally convergent sums of things in $A$, and the latter consists of all absolutely convergent sums of things in $A$, and you are asking under what "reasonable" conditions $A_u=A$ or $A_a=A$?
Aug 14, 2012 at 7:50 history asked Algernon CC BY-SA 3.0