olemus
sama skalaaride hulgaga $K$ vektorruumidest $V_1$ ja $V_2$ moodustatud vektorruum $V_1\otimes V_2$, mis defineeritakse
vaba vektorruumi $F_K(V_1\times V_2)$ faktorruumina $F_K(V_1\times V_2)/W$,
kus $W$ on alamruum, mille moodustavad kõikvõimalikud vektorid kujul
$(a, b_1 + b_2)-(a, b_1) - (a,b_2)$
$(a_1 + a_2, b)-(a_1, b) - (a_2,b)$
$(ka, b)- k(a, b)$
$(a, kb)- k(a, b)$,
ning $a, a_1,a_2\in V_A$, $b, b_1, b_2\in V_B$, ja $k\in K$,
st vektorruum $W$ on kõigi selliste vektorite lineaarne kate

märkus
tensorkorrutis on üldistatav ka n vektorruumile:
$V_1\otimes V_2\otimes \ldots \otimes V_n$

Wiktionary:
(mathematics) the most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗

ülevaateid
https://encyclopediaofmath.org/wiki/Tensor_product
https://en.wikipedia.org/wiki/Tensor_product
https://www.math3ma.com/blog/the-tensor-product-demystified
http://www.amotlpaa.org/math/vecten.pdf
https://www.math.brown.edu/~res/M153/tensor.pdf

vt ka
- tensor
- tensoraste