3 papers
math.FA2025
Matricial ranges, dilations, and unital contractive maps
Pankaj Dey, Atanu Dhang, Mithun Mukherjee
Let be the Jordan block of size with all eigen values zero. Arveson introduced the notion of the matricial range of an operator in his remarkable article called Subalgebr…
math.OA2017
Additive units of product systems
B. V. Rajarama Bhat, J. Martin Lindsay, Mithun Mukherjee
We introduce the notion of additive units, or `addits', of a pointed Arveson system, and demonstrate their usefulness through several applications. By a pointed Arveson system we m…
math.FA2015
On cluster systems of tensor product systems of Hilbert spaces
Mithun Mukherjee
It is known that the spatial product of two product systems is intrinsic. Here we extend this result by analyzing subsystems of the tensor product of product systems. A relation wi…