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Real interpolation of functions with applications to accretive operators on Banach spaces (2206.13400v1)
Published 27 Jun 2022 in math.FA and math.CA
Abstract: We study real interpolation, but instead of interpolating between Banach spaces, we interpolate between general functions taking values in $[0,\infty].$ We show the equivalence of the mean method and the $K$-method and apply the general theory to interpolation between the norm on a Banach space and the set norm associated with an m-accretive operator on such a space.