Equip RN the norm ||x|| = sup |En|. Prove that the subset nEN U = (0,...

 

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Equip RN the norm ||x|| = sup |En|. Prove that the subset nEN U = (0, 00)N = (0, 00) x (0, 00) x (0, ∞) x . %3| is not an open subset of RN relative to the norm defined above. Equip RN the norm ||x|| = sup |En|. Prove that the subset nEN U = (0, 00)N = (0, 00) x (0, 00) x (0, ∞) x . %3| is not an open subset of RN relative to the norm defined above.