![real analysis - Continuous functions on $[0,1]$ is dense in $L^p[0,1]$ for $1\leq p< \infty$ - Mathematics Stack Exchange real analysis - Continuous functions on $[0,1]$ is dense in $L^p[0,1]$ for $1\leq p< \infty$ - Mathematics Stack Exchange](https://i.stack.imgur.com/1CDBU.jpg)
real analysis - Continuous functions on $[0,1]$ is dense in $L^p[0,1]$ for $1\leq p< \infty$ - Mathematics Stack Exchange
![real analysis - Every function on $\mathbb{R}^n$ that is continuous in each variable separately is Borel measurable. - Mathematics Stack Exchange real analysis - Every function on $\mathbb{R}^n$ that is continuous in each variable separately is Borel measurable. - Mathematics Stack Exchange](https://i.stack.imgur.com/obwgR.png)
real analysis - Every function on $\mathbb{R}^n$ that is continuous in each variable separately is Borel measurable. - Mathematics Stack Exchange
MA 751 Part 4 Measurability and Hilbert Spaces 1. Measurable functions and integrals Let be the set of continuous functions on
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functional analysis - How to understand C(X)'' = bounded Borel measurable functions? - Mathematics Stack Exchange
![SOLVED: 6) Prove or disprove each of the following statements. [7 marks each] a) If f is uniformly continuous on R such that ∫|f|dx < ∞, then limâ‚“â†'∞ f(x) = 0. (b) SOLVED: 6) Prove or disprove each of the following statements. [7 marks each] a) If f is uniformly continuous on R such that ∫|f|dx < ∞, then limâ‚“â†'∞ f(x) = 0. (b)](https://cdn.numerade.com/ask_images/3d34682ef4564bf6894d7d8eb8722506.jpg)