The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied. New results on the disjoint strict singularity of the inclusions $ L^{p(\cdot)}(\Omega) \hookrightarrow L^{q(\cdot)}(\Omega)$ are given.

中文翻译：

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关于变指数空间的结构

本文第一部分考察了变指数勒贝格函数空间（或中野空间）$\lpv$的格结构的几个结果。第二部分研究了空间 $\lpv$ 之间的严格单数和不相交严格单数运算符。给出了包含体 $ L^{p(\cdot)}(\Omega) \hookrightarrow L^{q(\cdot)}(\Omega)$ 的不相交严格奇点的新结果。