Higher rank numerical ranges of normal operators and unitary dilations

DOI10.1016/j.jmaa.2023.127077OpenAlexW3162789784MaRDI QIDQ2698054

Pankaj Dey, Mithun Mukherjee

Publication date: 14 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09877

zbMATH Keywords

spectral measurenormal operatorunitary dilationhigher rank numerical range

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Special classes of linear operators (47Bxx)

Cites Work

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• Higher-rank numerical ranges and compression problems
• Higher rank numerical ranges and low rank perturbations of quantum channels
• Generalized Halmos conjectures and constrained unitary dilations
• Higher Rank Numerical Ranges of Normal Matrices
• Higher-rank numerical range in infinite-dimensional Hilbert space
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• Condition for the higher rank numerical range to be non-empty
• Higher-rank numerical ranges of unitary and normal matrices
• Geometry of higher-rank numerical ranges
• The higher rank numerical range is convex

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