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math.FA2021★ 1 cited
Higher Rank Numerical Ranges and Unitary Dilations
Pankaj Dey, Mithun Mukherjee
Here we show that for the closure of the -rank numerical range of a contraction acting on an infinite-dimensional Hilbert space 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…