I have seen kitchen knives that claim exactly that however the edges were TiN coated, but they just called them Titanium, you will see the same thing with drill bits. Nitride coatings have a very high hardness and exceptional wear resistance, as long as you don't deform the edge, they should cut well for a much longer period of time than steel.
Buck uses such a coating on some of their folders and they claim something like 6-8 times the edge life of one of their noncoated blades. As for pure Titanuim, Mission makes similar claims about their blades. Can't comment in regards to personal experience as I have never used pure Ti blades, nor ones that had the edge partially formed by TiN coatings.
Back to kitchen knives, a simple 420HC will last for at least a month without sharpening of any kind unless it is used on something other than food. I did some edge retention work on a Henckels International line Chef's knife and paring blade and found no degredation after one month. I was judging its sharpness by its ability to slice light cord and fabric under a light load. I could have gone on longer.
The reason that kitchen knives do blunt is generally because they get impacted/deformed. A steel will handle all such problems. I steel mine generally every use and they go quite some time before needing a honing, basically every few months. Food is simply not abrasive enough to wear any amount of steel away.
-Cliff