http://img237.imageshack.us/img237/1420/62874853.png

Any hints on how to approach these two questions?

Thanks a lot

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- Oct 11th 2009, 07:44 PM6DOMNorm and Uniform Convergence
http://img237.imageshack.us/img237/1420/62874853.png

Any hints on how to approach these two questions?

Thanks a lot - Oct 12th 2009, 02:09 AMEnrique2
For a) just observe that A is compact.

b) is immediate from the very definition. Uniform convergence to f certainly is equivalent to the convergence to 0 of

$\displaystyle \{\sup\|f_k(x)-f(x)\|: x\in A\}$