Pankaj Dey

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20212026

most citedHigher Rank Numerical Ranges of Normal Operators and unitary dilations

2 citations · 3 across the 5 of their papers we have counts for

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math.FA2025

Matricial ranges, dilations, and unital contractive maps

Pankaj Dey, Atanu Dhang, Mithun Mukherjee

Let $J_{n}$ be the Jordan block of size $n$ with all eigen values zero. Arveson introduced the notion of the matricial range of an operator in his remarkable article called Subalgebr…

math.FA2021★ 1 cited

Higher Rank Numerical Ranges and Unitary Dilations

Pankaj Dey, Mithun Mukherjee

Here we show that for $k \in N,$ the closure of the $k$ -rank numerical range of a contraction $A$ acting on an infinite-dimensional Hilbert space $H$ is the inters…

math.FA2021★ 2 cited

Higher Rank Numerical Ranges of Normal Operators and unitary dilations

Pankaj Dey, Mithun Mukherjee

We describe here the higher rank numerical range, as defined by Choi, Kribs and Zyczkowski, of a normal operator on an infinite dimensional Hilbert space in terms of its spectral m…