You asked
Is the olympus m zuiko 45mm f 1 2 pro sharp wide open?
The site doesn't have sharpness tests for this lens, so I can't tell you how it performs wide open at f/1.2. What I can say is that it's a weather-sealed portrait prime that frames like 90mm on full frame, and at f/1.2 on Micro Four Thirds it gives roughly the depth of field of f/2.4. That's a very thin plane of focus, so the eyes need to be in it.
If you want the portrait look for less, the Olympus M.Zuiko 45mm f/1.8 is a small, cheap 90mm-equivalent option. For how wide apertures behave in practice, see Portraits.
Written by Claude from this site's pages.