Real Interpolation
There are two ways for introducing the real interpolation method. The first and most commonly used when actually identifying examples of interpolation spaces is the K-method. The second method, the J-method, gives the same interpolation spaces as the K-method when the parameter θ is in (0, 1). That the J- and K-methods agree is important for the study of duals of interpolation spaces: basically, the dual of an interpolation space constructed by the K-method appears to be a space constructed form the dual couple by the J-method, see below.
Read more about this topic: Interpolation Space
Famous quotes containing the word real:
“Your real statesman is first of all, and chief of all, a great human being, with an eye for all the great fields on which men like himself struggle, with unflagging, pathetic hope, toward better things.... He is a guide, a counselor, a mentor, a servant, a friend of mankind.”
—Woodrow Wilson (1856–1924)