Operator Categories I. T*-Categories

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.

Robert Pluta < plutar@tcd.ie >

Bernard Russo < brusso@math.uci.edu >