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arXiv · 1112.5996

Krein C*-categories

Paolo Bertozzini·Kasemsun Rutamorn
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Abstract

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

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BibTeXRIS

Paolo Bertozzini, Kasemsun Rutamorn. 2011-12-27. Krein C*-categories. https://arxiv.org/abs/1112.5996

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