Real interpolation of functions with applications to accretive operators on Banach spaces

2022/06/27 by Chill, Ralph, Sharma, Praveen, Srivastava, Sachi
#35K92 #46B70 #47H06 #47H20 #47J35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2206.13400

Abstract

We study real interpolation, but instead of interpolating between Banach spaces, we interpolate between general functions taking values in [0,∞]. 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.

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