Interpolation of cesàro sequence and function spaces

The interpolation properties of Cesàro sequence and function spaces are investigated. It is shown that Cesp(I) is an interpolation space between Cesp0 (I) and Cesp1 (I) for 1 < p0 < p1 ≤ ∞ and 1/p = (1 - θ)/p0 + θ/p1 with 0 < θ < 1, where I = [0,∞) or [0, 1]. The same result is true for Cesàro sequence spaces. On the other hand, Cesp[0; 1] is not an interpolation space between Ces 1[0; 1] and Ces∞[0; 1].Validerad; 2013; 20130624 (andbra