# On tensor fractions and tensor products in the category of stereotype spaces.

@article{SSAkbarov2020OnTF, title={On tensor fractions and tensor products in the category of stereotype spaces.}, author={S.S.Akbarov}, journal={arXiv: Functional Analysis}, year={2020} }

We prove two identities that connect some natural tensor products in the category $\sf{LCS}$ of locally convex spaces with the tensor products in the category $\sf{Ste}$ of stereotype spaces. In particular, we give sufficient conditions under which the identity $$ X^\vartriangle\odot Y^\vartriangle\cong (X^\vartriangle\cdot Y^\vartriangle)^\vartriangle\cong (X\cdot Y)^\vartriangle $$ holds, where $\odot$ is the injective tensor product in the category $\sf{Ste}$, $\cdot$, the primary tensor… Expand

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