Multilinear Map - Relation To Tensor Products

Relation To Tensor Products

There is a natural one-to-one correspondence between multilinear maps

and linear maps

where denotes the tensor product of . The relation between the functions and is given by the formula


Read more about this topic:  Multilinear Map

Famous quotes containing the words relation to, relation and/or products:

    The whole point of Camp is to dethrone the serious. Camp is playful, anti-serious. More precisely, Camp involves a new, more complex relation to “the serious.” One can be serious about the frivolous, frivolous about the serious.
    Susan Sontag (b. 1933)

    The problem of the twentieth century is the problem of the color-line—the relation of the darker to the lighter races of men in Asia and Africa, in America and the islands of the sea. It was a phase of this problem that caused the Civil War.
    —W.E.B. (William Edward Burghardt)

    Isn’t it odd that networks accept billions of dollars from advertisers to teach people to use products and then proclaim that children aren’t learning about violence from their steady diet of it on television!
    Toni Liebman (20th century)