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I'm trying to understand a theorem, but it's full with analysis (or something) terms unfamiliar to me.

Is there an intuitive interpretation for the sentence: 'An operator being limited is equivalent to continuity in the topolgy of the norm'?

Also, how can I partially understand what is a "strongly continous application"?

I understand that for a plain comprehension, one is required to follow a strict study on these subjects. But right now I'm happy with a simple intuition.

Edit: Is this the right place? I'm not sure analysis is the subject here!

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# Limited operators - continuity?

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