The AJA does the Job perfekt, with DVI to HDMI Adapter as well. The Blackmagic SDI to HDMI Cnverter does the same Job perfekt, with one difference, the Samsung Monitor says 1920 x 1080 24p. With the AJA, the Monitor says 1920 x 1080 60 Hz.
AND, if I check the button “use 1080p instead of 1080 psf” in the Blackmagic Decklink Control Panel, it works without any converter. Thats a great deal.
Tested with ProTools 11.1.1 HD on OSX 10.8.3