This is an announcement for the paper “The Grothendieck property in Marcinkiewicz spaces” by B. de Pagterhttps://arxiv.org/search/math?searchtype=author&query=de+Pagter%2C+B, F.A. Sukochevhttps://arxiv.org/search/math?searchtype=author&query=Sukochev%2C+F+A.

Abstract: The main pupose of this paper is to fully characterize continuous concave functions $\psi $ such that the corresponding Marcinkiewicz Banach function space $M_{\psi }$ is a Grothendieck space.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1912.01162