Any general method for iPad to output in 1080p when connected to TV by HDMI? Is there any way for an iPad Air to output to the resolution of a 1080p TV (via HDMI converter) that is not app-specific?
I'm currently using an iPad Air with an adaptor that looks like this:

From the comments,
I am using a 16:9 screen, while the iPad is more of a 4:3 display.
As a result, there are black bars to the left and right when output to the television.
From the comments and based on actual results,
the iPad Air model I have has an output resolution strictly limited to the resolution of the screen.
As this screen has a lower resolution than my TV (where the screen is &lt; 1080p), this translates to black bars appearing to the left and the right of the display on the TV.
In addition, the output frame rate is noticeably worse with such an output adaptor shown in the original post, showing a 30 FPS video at around 20 FPS.
There is no known software fix to this as it is a limitation imposed by the hardware itself.
Alternatively, I can zoom in the TV to make use of the full screen, at the cost of even worse resolution with the lower output video frame rate even more noticeable.