DefBringer,
What you are trying to do should work fine. Double-check your connections and check that in particular the HDMI plug is fully seated in the socket. The weight of the cable may have pulled it partially loose. Pull out the HDMI end, put it back in and hold it in by hand to see if you get a proper signal.
[EDITED TO ADD: Note, it may take a few seconds for the handshake to establish the connection and for an image to appear -- usually under 2 seconds On some devices the initial connection can take 10 or 12 seconds. So, just as a test, hold the HDMI plug in at the TV jack for a full 15 seconds while leaving the DVI setting on the player unchanged.]
On your TV, "Input 1" is both a Component input (one of two) and the sole HDMI input. Make sure you haven't attached any Component cables to that input while you are actually trying to use the HDMI portion of it. In particular, since you are connecting from a DVI device and thus have to make a separate audio connection, make sure you haven't run audio cables from your DVI device and mistakenly plugged them into the Component connections of Input 1 instead of into its audio connections.
Make sure you have gone into the proper menu and manually selected the HDMI input (Input 1) on your TV. If you have an alternate video connection also connected from the player, such as S-video, and if you have selected that by accident on your TV, you will probably find it doesn't work when you have turned on the DVI output on the player.
You may have a faulty DVI to HDMI cable. Try a different cable.
If none of that resolves the problem, it sounds like you have either a faulty DVI output on your player or a faulty HDMI input on your TV. The easiest way to check is to (1) bring the player back to the store with your cable and try it on an HDMI-equipped TV there, and (2) get a different player and bring it home to try with your TV.
--Bob
