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

Ralph Chill; Praveen Sharma; Sachi Srivastava

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

Functional Analysis 2022-06-28 v1 Classical Analysis and ODEs

Authors: Ralph Chill , Praveen Sharma , Sachi Srivastava

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.

Keywords

real interpolation k-method mean method banach space m-accretive operator set norm

Cite

@article{arxiv.2206.13400,
  title  = {Real interpolation of functions with applications to accretive operators on Banach spaces},
  author = {Ralph Chill and Praveen Sharma and Sachi Srivastava},
  journal= {arXiv preprint arXiv:2206.13400},
  year   = {2022}
}

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34 pages

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