Suppose and . Is is true if i say ?

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- Dec 6th 2011, 07:40 AMyounhockL^2 convergence problems.
Suppose and . Is is true if i say ?

- Dec 6th 2011, 08:40 AMgirdavRe: L^2 convergence problems.
Apply Cauchy-Schwarz inequality to see it's true.

- Dec 6th 2011, 08:51 AMyounhockRe: L^2 convergence problems.
- Dec 6th 2011, 08:56 AMgirdavRe: L^2 convergence problems.
, and you can conclude (the hypothesis is the strong convergence, whereas the conclusion is called weak convergence).