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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.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…