6 citations · 27 across the 27 of their papers we have counts for
13 papers · 1 filter
Local operator system structures and their tensor products
Surbhi Beniwal, Ajay Kumar, Preeti Luthra
We introduce and explore the theory of tensor products in the category of local operator systems. Analogous to minimal operator system OMIN and maximal operator system OMAX, minima…
Variations of completely bounded maps on operator spaces
Janson Antony, Ajay Kumar
We introduce weighted cb maps and -cb maps on operator spaces which are generalizations of completely bounded maps and a certain class of bilinear maps on operator spaces whic…
Polynomials in operator space theory: matrix ordering and algebraic aspects
Preeti Luthra, Ajay Kumar, Vandana Rajpal
We extend the -theory of operator spaces given by Defant and Wiesner (2014), that generalizes the notion of the projective, Haagerup and Schur tensor norm for operator spaces to…
Nuclearity properties and -envelopes of operator system inductive limits
Preeti Luthra, Ajay Kumar
We study the relationship between -envelopes and inductive limit of operator systems. Various operator system nuclearity properties of inductive limit for a sequence of operat…
Embeddings and -envelopes of exact operator systems
Preeti Luthra, Ajay Kumar
We prove a necessary and sufficient condition for embeddability of an operator system into . Using Kirchberg's theorems on a tensor product of and $\…
Arens regularity of projective tensor products
Ajay Kumar, Vandana Rajpal
For completely contractive Banach algebras and (respectively operator algebras and ), the necessary and sufficient conditions for the operator space projective tenso…