The article doesn't do much to offer a solution (if you believe there's a problem). Inheritance taxes? Gift taxes? The article points out that most wealth disappears in 3 generations. Look at the Vanderbilts as an odd example. Cornelius knew the 3 generation rule, and left his entire fortune to his oldest son, leaving his daughter and other (mentally questionable) son out of his will. His son is considered a great business man, who expanded the empire. But even that vast wealth still disappeared 2 generations later, on Newport mansions and the "lifestyle".
Also, I'm amazed every time I read the stat that the top 1% owns 35% of the wealth, more than the bottom 90% owns. (Does that imply that the 9% upper class own up to 30% of the wealth?).