On a Property of Pls-Spaces Inherited by Their Tensor Products (Report‪)‬

1 introduction The aim of this paper is to investigate when the dual interpolation estimate is inherited by tensor products of PLS-spaces. Basic definitions (e.g. PLS-space, dual interpolation estimate) and properties are collected in Section 2 while Section 3 contains all the main results. We prove the inheritance if e.g. at least one of the spaces is nuclear Frechet--Th. 6 or at least one of them is a PLN-space--Th. 9. According to [14, 21.8.4] not every nuclear Frechet space can be given a PLN-space structure therefore one has to distinguish these two cases.