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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the concept of interpolation spaces in Banach spaces, focusing on the interpolation couple of two real (complex) Banach spaces. It explains the conditions for a vector subspace of V to be an interpolation couple, along with the max and inf operations. The lecture also discusses the properties of interpolation spaces between X and Y, emphasizing the K-method and real continuous interpolation spaces. Various examples and mathematical operations are presented to illustrate the theory.