We provide explicit constructions for various ingredients of right exact monoidal structures on the category finitely presented functors. As our main tool, we prove a multilinear version universal property so-called Freyd categories, which in turn is used proof correctness constructions. Furthermore, compare construction with Day convolution arbitrary additive always yields closed structure all...

Let $m,n$ be positive integers with $m \lt n$. Under certain assumptions on the Banach space $X$, we prove that $n$-fold projective tensor product of $\widehat {\otimes }{}^n_\pi X$, is not isomorphic to any subspace quotient $m$-fo