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- W1964615615 abstract "If V is a complex finite dimensional inner product space, and q is a positive integer, then T q(V) denotes the set of all q-linear -valued functions with domain V×V×···×V-(q copies), and S q(V) denotes the subspace of T q(V) whose elements are the fully symmetric q-linear -valued functions. If A∈S n (V) and B∈S p (V), then we define the tensor product, A⊗B, and the symmetric product, A·B, in the usual way, and obtain an inner product, and norm, on T q(V) by extending the inner product on V. Neuberger showed that if A,C∈S n (V) and , then where , and, for each i, is a certain map on that is linear in its first position and conjugate linear in its second position to an appropriate set of mixed tensors. We extend Neuberger's identity to the case , , , and where p + n = q + r. The new identity is where and ." @default.
- W1964615615 created "2016-06-24" @default.
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- W1964615615 date "2008-09-01" @default.
- W1964615615 modified "2023-09-27" @default.
- W1964615615 title "A generalized Neuberger identity for the inner product of symmetric products of tensors" @default.
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- W1964615615 doi "https://doi.org/10.1080/03081080701451161" @default.
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