Vector valued RKHS which is covered extensively in the book "Pick Interpolation and Hilbert function spaces" . In a different context interpolation space is defined in the wikipedia link: https://en.wikipedia.org/wiki/Interpolation_space. My question are these related somehow? Can we define both under the same framework? I have seen some papers link given below but could not clarify my doubt.
http://www.ams.org/journals/mcom/2008-77-263/S0025-5718-07-02096-0/S0025-5718-07-02096-0.pdf
http://arxiv.org/pdf/1402.0099.pdf
Any clarification would be appreciated.