Higher-rank numerical range in infinite-dimensional Hilbert space

DOI10.7153/oam-02-16zbMath1158.47006OpenAlexW2168763460MaRDI QIDQ3514284

Rubén A. Martínez-Avendaño

Publication date: 21 July 2008

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-02-16

zbMATH Keywords

selfadjoint operatorhigher-rank numerical rangenonunitary isometry

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (8)

Generalized Halmos conjectures and constrained unitary dilations ⋮ Higher-rank numerical ranges and Kippenhahn polynomials ⋮ Elliptical range theorems for generalized numerical ranges of quadratic operators ⋮ Higher rank numerical ranges of normal operators and unitary dilations ⋮ Higher rank numerical ranges and low rank perturbations of quantum channels ⋮ Product of operators and numerical range ⋮ Spectra, norms and numerical ranges of generalized quadratic operators ⋮ Isoclinic subspaces and quantum error correction

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