Summary
The coincidence of the real and complex methods of interpolation is investigated. Positive results are established under the presence of geometrical properties which are expressed in terms of vector valued Fourier transforms. The results are applied to complex interpolation of Hp spaces and to the study of geometrical properties of Banach spaces.
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Milman, M. Complex interpolation and geometry of Banach spaces. Annali di Matematica pura ed applicata 136, 317–328 (1984). https://doi.org/10.1007/BF01773388
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DOI: https://doi.org/10.1007/BF01773388