Corpus ID: 221533945

# 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}
}
• S.S.Akbarov
• Published 2020
• Mathematics
• arXiv: Functional Analysis
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
1 Citations
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