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 foregoing generations beheld God and nature face to face; we, through their eyes. Why should not we also enjoy an original relation to the universe? Why should not we have a poetry and philosophy of insight and not of tradition, and a religion by revelation to us, and not the history of theirs?
    Ralph Waldo Emerson (1803–1882)

    To be a good enough parent one must be able to feel secure in one’s parenthood, and one’s relation to one’s child...The security of the parent about being a parent will eventually become the source of the child’s feeling secure about himself.
    Bruno Bettelheim (20th century)

    The measure discriminates definitely against products which make up what has been universally considered a program of safe farming. The bill upholds as ideals of American farming the men who grow cotton, corn, rice, swine, tobacco, or wheat and nothing else. These are to be given special favors at the expense of the farmer who has toiled for years to build up a constructive farming enterprise to include a variety of crops and livestock.
    Calvin Coolidge (1872–1933)