Tabs often gets very cluttered. But I know which tabs that I always want to stay open. Email, social media, RSS feed, messenging. In short navigation tabs where you are only in the home screen.
So when you press a link in the management tab, it is opened in the content window. Or something along those lines. Whaddaya think?
I feel like I might be missing a detail of your use case but have you tried pinned tabs?