I learned about the definitions of these convergences. Is my diagram correct?
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Sure convergence (rather called pointwise convergence) does not imply mean square convergence. – Did Mar 19 '16 at 16:02
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@Did You mean that Mean square convergence is different kind of others, right? So, sure convergence is not in convergence. Thank you, I am going to think more about this. – Danny_Kim Mar 19 '16 at 16:06
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"Mean square convergence is different kind of others" No idea what you mean by that. – Did Mar 19 '16 at 16:11