Abstract
In the construction of a tensor product of quaternion Hilbert modules, given in a previous work (real, complex, and quaternionic), inner products were defined in the vector spaces formed from the tensor product of quaternion algebras H modulo an appropriate left ideal in each case. Under conditions that are necessary for the definition of a scalar product in the quaternionic Hilbert modules and a natural condition on the algebraic structure, it is proven that the scalar products which are defined are unique.
Original language | English |
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Pages (from-to) | 3098-3104 |
Number of pages | 7 |
Journal | Journal of Mathematical Physics |
Volume | 33 |
Issue number | 9 |
DOIs | |
State | Published - 1992 |
Externally published | Yes |