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Would you advise me on the references of Pringsheim Convergence about interchanging the order of limits? Where can I find the most general statement?

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More context on what you already know about it might help. Did you do a web search and check out some of the many sources that come up? – Jonas Meyer Dec 23 '11 at 17:40
Yes I would like to know where I can find a formal reference for the argument in math.stackexchange.com/questions/15240/… – helloworld Dec 23 '11 at 18:45
If I understand correctly, you would like to have a (textbook/paper) reference for the results from this answer by Arturo Magidin. (And perhaps for some similar results.) The simplest thing would be to ask him in a comment to his answer. Since you do not have the reputation for asking comments, I'll do that for you. – Martin Sleziak Dec 24 '11 at 9:27
What is the relation between this approach and Arzela-Ascoli? – webster Dec 26 '11 at 1:24

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