Yes, and "the monitoring of their behaviour as far as their behaviour takes place within the Union" absolutely applies to examining activity of LinkedIn users from the EU.
As for jurisdiction in general: the US routinely jails people for activities that took place outside the US, as soon as they set foot on US soil - occasionally even when they don't even do that (Kim Dotcom). European convictions for civil matters will not result in an arrest warrant, but can result in financial penalties and confiscations applied to anything that has to go through Europe in one way or the other.
The limits of enforcement, in the internet era, are becoming mostly practical rather than theoretical. Which is interesting and poses a number of new, unanswered questions. Simply speaking, one cannot just wave away any law simply because they don't live in this or that place anymore.
As for jurisdiction in general: the US routinely jails people for activities that took place outside the US, as soon as they set foot on US soil - occasionally even when they don't even do that (Kim Dotcom). European convictions for civil matters will not result in an arrest warrant, but can result in financial penalties and confiscations applied to anything that has to go through Europe in one way or the other.
The limits of enforcement, in the internet era, are becoming mostly practical rather than theoretical. Which is interesting and poses a number of new, unanswered questions. Simply speaking, one cannot just wave away any law simply because they don't live in this or that place anymore.