Question: norm on a function space Decide of the statement below is true or false. If false, show Why (say by a counter example). If true,

norm on a function space

Decide of the statement below is true or false. If false, show Why (say by a counter example). If true, prove the statement. If H - \"a and H - Hg, are both norms on the function space X, then the functional \"eh\" dened by ||f|| = ||f||a+ \"f\"b is also a norm on X

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