This is an announcement for the paper “Invariant subspaces for non-normable Fréchet spaces” by Menet Quentin<https://arxiv.org/find/math/1/au:+Quentin_M/0/1/0/all/0/1>. Abstract: A Fr\'echet space X satisfies the Hereditary Invariant Subspace (resp. Subset) Property if for every closed infinite-dimensional subspace $M$ in $X$, each continuous operator on $M$ possesses a non-trivial invariant subspace (resp. subset). In this paper, we show that there exist non-normable separable infinite-dimensional Fr\'echet spaces satisfying the Hereditary Invariant Subspace Property but that a large family of non-normable Fr\'echet spaces does not satisfy this property. We also state sufficient conditions for the existence of a continuous operator without non-trivial invariant subset and deduce among other examples that there exists a continuous operator without non-trivial invariant subset on the space of entire functions $\mathbb{H}(C)$. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1709.09933