Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules

A. Razon, L. P. Horwitz

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

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 languageEnglish
Pages (from-to)3098-3104
Number of pages7
JournalJournal of Mathematical Physics
Volume33
Issue number9
DOIs
StatePublished - 1992
Externally publishedYes

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