Kreĭn C*-categories
Keywords:
Kreĭn space, C*-categoryAbstract
-categories are essentially norm-closed
-categories of bounded linear operators between Hilbert spaces. The purpose of this work is to identify suitable axioms defining Kreĭn
-categories, i.e. those categories that play the role of
-categories whenever Hilbert spaces are replaced by more general indefinite inner product Kreĭn spaces, and provide some basic examples. Finally we provide a Gel'fand-Naĭmark representation theorem for Kreĭn
-algebras and Kreĭn
-categories.
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Published
2019-12-14
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Research Articles