Operator Categories I. T*-categories

Abstract

T*-categories are introduced as a ternary generalization of C*-categories. Their linking C*-categories are constructed and the Gelfand-Naimark representation theorems of Zettl for C*-ternary rings and for W*-ternary rings, are generalized to T*-categories. Biduals of C*-categories and of T*-categories are considered.

The published version changed the title to "Ternary Operator Categories". The content was not changed. The present version constitutes a corrigendum to a portion of the published version