The view is obstructed by the pane below as seen in the following image.
This is only an issue with the view and the search field will function normally.
This issue looks to be caused by a local configuration issue and is not seen in most environments.
As a workaround, a browser can be used to view the personal archive and should display the entire Quick Search field.

The pane that contains the Quick Search field does not show the entire pane.