# Complex interpolation of families of Orlicz sequence spaces

## TL;DR

This paper investigates the complex interpolation process for families of Orlicz sequence spaces, providing a concrete example where the resulting centralizer cannot be derived from interpolating just two spaces.

## Contribution

It introduces a specific example of a three-space family leading to a centralizer not obtainable from pairwise complex interpolation.

## Key findings

- Demonstrates a three-space family with unique interpolation properties
- Provides a concrete example of a centralizer not reducible to two-space interpolation
- Advances understanding of complex interpolation in Orlicz sequence spaces

## Abstract

We study the complex interpolation and derivation process induced by a family of Orlicz sequence spaces. We present a concrete example of interpolation family of three spaces inducing a centralizer that cannot be obtained from complex interpolation of two spaces.