Can you WIRELESSLY connect a macbook pro to a monitor to have extra work space on a separate screen from your macbook? (not mirror, extra monitor/workspace)

My thunderbolt port stopped working on my late 2011 MacBook Pro rendering my external monitor useless--or so I thought.

Mac Genius suggested using the Apple TV via AirPlay Display as a $100 solution. Took me all of 6 minutes to figure this out as there are no directions in the Apple TV box supporting this. But, it does work and I am now back in business.

PS. Don't set up with bluetooth--seems logical but you want to use AirPlay Display under Settings > Displays.

Also, I originally thought my external monitor stopped working because I upgraded the OS. This time, it was definitely a hardware issue and not software. It also fixed a known sound issue my monitor had with Macs. First time in my 15 years I've ever had a ViewSonic have issues with an Apple product, too. Thanfully, it is now fixed.

Hope this helps.

Late 2011 MacBook Pro

Maverick

ViewSonic external monitor

A new feature in Mavericks is you can use any external monitor (including one on Apple TV) as a seperate workspace.

Requirements for Apple TV: MacBook Pro (Early 2011 or newer) with OS X Mountain Lion or later.

https://discussions.apple.com/docs/DOC-2821

You can transmit HDMI signals wirelessly, so yes you can, provided that your Mac and your TV support HDMI or Display Port.

Google for wireless HDMI transmitter/receiver. There are many choices.