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arXiv · 2206.13400

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

Ralph Chill·Praveen Sharma·Sachi Srivastava
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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.

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Ralph Chill, Praveen Sharma, Sachi Srivastava. 2022-06-27. Real interpolation of functions with applications to accretive operators on Banach spaces. https://arxiv.org/abs/2206.13400

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