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10 Nov 2019
Let C(R) be the vector space of all continuous functions f : R rightarrow R. Prove that the subset of absolutely integrable functions, is a subspace of C(R). (Hint: |f + g| |f| + |g|.)
Let C(R) be the vector space of all continuous functions f : R rightarrow R. Prove that the subset of absolutely integrable functions, is a subspace of C(R). (Hint: |f + g| |f| + |g|.)