I have run into a few of these connectors in the past and I think I have an answer for you.

There's an adaptor made for American connectors that you screw the F connector (the one on the cable in your photos) so that you can just push on and easily pull off your American connector on an American TV. The thing is, the push-on part also pushes nicely onto your European antenna connector, so you can screw your connector onto one end, then push the other end onto the TV.

It looks like this:



That one comes from mouser electronics and other places have them, too.

If you happen to be in the Los Angeles area I can probably recommend a place to find them, too, but it will probably be cheaper to buy from mouser. If you do and it doesn't work, send me a private message and I'll tell you how to tweak it so it will connect.