Recent content by koja

You mean linear functions on vectors - and those I prefer to call forms. And please don't talk about contraction before you define what a tensor is... Because if you do (and people do) than everything related to tensors shrinks to manupulation of components... And still I find your description...

I guess you mean this: \forall A \in V^{**} \exists ! a \in V: \forall \alpha \in V^*: A(\alpha)=\alpha(a) OK, if you have somehow defined tensor product of two vector spaces - V \otimes W - then by above + abstractness of all used vector spaces where V, W can stand for anything you can do...

I don't know if you are really confused about tensors or just wanted to show they are "slippery" and uneasy to catch and get :) But this is my view: First you have to define tensor product of two vector spaces, V \otimes W somehow. One of the common ways is your (3): V \otimes W :=...