Apps on one monitor always visible on all desktops?

[BackSeat]

I have a perhaps slightly odd request. I run a two-monitor setup with seven virtual desktops. I tend to use the left hand monitor as my working environment (one desktop for mail, one for web, one shell session, etc etc), and put the reference material I need on the right hand monitor (which may be a single email or a web page or similar). What I would like to be able to do is have any application that is on the right-hand monitor automatically be visible on all virtual desktops. Yes, I can do that with a couple of extra clicks, but it would be nice (some would say "lazy") to be able to drag an email from the email desktop left-hand monitor to the right hand monitor, switch the LH monitor to the web desktop and still see the email on the right.

Even now when I describe what I would like to achieve, it sounds almost perverse. But really, I do want this! Is LXDE able to do this? Is ANY WM able to do this?

[archibald haddock]

So shorter, you need to only rotate virtual desktops on the screen, you are on at the moment.
So you could rotate on the left monitor and right stands still?

I think compiz provided a toggle for that behaviour, but I dont now a way configure LXDE to do say.
But I think you should read Openbox manuals, because Openbox is managing virtual desktops.