As I noted earlier in this thread, there are four mega-airlines in the United States: American Airlines (which is now the same company as US Airways, a brand that will disappear), Delta Air Lines, United Airlines, and Southwest Airlines.
There are seven independent airlines of any real consequence in the United States: JetBlue Airways, Alaska Airlines, Spirit Airlines, Frontier Airlines, Hawaiian Airlines, Allegiant Air, and Virgin America.
Then there are companies such as SkyWest Airlines and Republic Airlines that operate regional jet services for the major airlines, flying under such brands as American Eagle and United Express.
Nearly at the bottom are charter airlines. Small charter airlines own just a single aircraft -- and that's where the new Eastern Airlines falls in.
Even lower than that are the "virtual" airlines, such MetJet, which went out of business last year after operating without even owning or leasing an aircraft. MetJet chartered Sun Country to operate its flights, using aircraft painted in Sun Country livery.
I hope the new Eastern is successful. It will be hard to break into the "major leagues" of air carriers. Buying the rights to the Eastern Airlines name and graphic identify appears to have been a smart move. We wouldn't even be discussing the new Eastern if it wasn't for that.