Abstract. The problem of $F$-decomposition of tensor spaces is considered. $F$-decomposition of tensor spaces of the type $(1,1)$, $(1,2)$, $(1,3)$ is computed. Also $F$-decomposition for $e$-structures, when special conditions hold, is studied in this paper and explicit formulas for decomposition are given.
AMSclassification. 53A45, 53B35
Keywords. Tensor spaces, decomposition, e-structure