1 citations · 1 across the 4 of their papers we have counts for
6 papers
Anti-C*-algebras
Robert Pluta, Bernard Russo
We introduce a class of Banach algebras that we call anti-C*-algebras. We show that the normed standard embedding of a C*-ternary ring is the direct sum of a C*-algebra and an anti…
Ternary rings of operators arising from inverse semigroups
Robert Pluta, Bernard Russo
We are interested in properties, especially injectivity (in the sense of category theory), of the ternary rings of operators generated by certain subsets of an inverse semigroup vi…
Operator Categories I. T*-categories
Robert Pluta, Bernard Russo
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…
Derivations on ternary rings of operators
Robert Pluta, Bernard Russo
To each projection in a -algebra we associate a family of derivations on , called -derivations, and relate them to the space of triple derivations on …
Homomorphic conditional expectations as noncommutative retractions
Robert Pluta, Bernard Russo
Let be a -algebra and a conditional expectation. The Kadison-Schwarz inequality for completely positive maps, implies that…
Triple derivations on von Neumann algebras
Robert Pluta, Bernard Russo
It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It…