Using WIN 7, when I shut down Outlook 2003, I can see it is gone from the processes tab in Task manager. Yet messages still come in from my ISP (I can see them in the popup from the system tray). When I start Outlook again, these messages are already there.

I have noticed this with some other applications as well (Windows Live Messenger and Skype) but the OUTLOOK problem bothers me the most as I want these messages to stay on the server so I can use Webmail on another machine when I'm away from home.