- #1

- 107

- 0

## Main Question or Discussion Point

Everything here is in a Hilbert space. If [itex]x_n\to x[/itex] and [itex]y_n\to y[/itex] in norm, then under what conditions does

[itex]<x_n,y_n>\to <x,y>[/itex]?

Is this always true, and why?

Does anyone have a source?

[itex]<x_n,y_n>\to <x,y>[/itex]?

Is this always true, and why?

Does anyone have a source?