show that in the vector space (i) is a norm (ii) has en empty interior (iii) is not compact please help im trying to learn this by myself and i would like help on how to do this problems thanks!
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Originally Posted by mms show that in the vector space (i) is a norm (ii) has en empty interior (iii) is not compact please help im trying to learn this by myself and i would like help on how to do this problems thanks! For (i) just remmeber that for all we have so adding we get For (ii) take a sequence such that if and if then as (since ) For (iii) what can you say about the sequence where if and if (Notice that for all )
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