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cianfa72
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- About the terminologies used to describe tensor product of vector spaces
Hi,
I'm in trouble with the different terminologies used for tensor product of two vectors.
Namely a dyadic tensor product of vectors is written as . It is basically a bi-linear map defined on the cartesian product .
From a technical point of view, I believe it is actually the tensor product of the bidual , then using the canonical isomorphism we are allowed to understand it as the product tensor of the two vector .
In general when we talk of the product tensor we have in mind the dyadic tensor given by the product tensor of the canonically associated bi-duals and .
Other thing is the product tensor of vector spaces such as . This is again the full set of bi-linear application from the cartesian product (which is its own a vector space).
Does it make sense ? Thanks.
I'm in trouble with the different terminologies used for tensor product of two vectors.
Namely a dyadic tensor product of vectors
From a technical point of view, I believe it is actually the tensor product of the bidual
In general when we talk of the product tensor
Other thing is the product tensor of vector spaces such as
Does it make sense ? Thanks.
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