Model theory and linear extreme points in the numerical radius unit ball

DOI10.1090/memo/0615zbMath0913.47007OpenAlexW2068078121MaRDI QIDQ4362213

Michael A. Dritschel, Hugo J. Woerdeman

Publication date: 7 June 1999

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0615

zbMATH Keywords

finite-rank operatorextremalsnumerical rangesunitary 2-dilationcanonical decomposition for operators on a finite-dimensional spacecharacterization of the extreme points of the convex set of numerical contractionsmodel theory for numerical contractionsstrong full basis properties

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Dilations, extensions, compressions of linear operators (47A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (19)

Extremality of numerical radii of matrix products ⋮ The structure of the core of a numerical contraction ⋮ Numerical range of the Foguel–Halmos operator ⋮ Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils ⋮ Extremality of numerical radii of matrix commutators and Jordan products ⋮ A numerical radius inequality for sector operators ⋮ Nonsurjective numerical radius isometries between matrix algebras ⋮ The numerical range of positive operators on Hilbert lattices ⋮ On matrices whose numerical ranges have circular or weak circular symmetry ⋮ Numerical ranges of Foguel operators ⋮ Symbolic calculus of operators with unit numerical radius ⋮ Pure matrix states on operator systems ⋮ On mapping theorems for numerical range ⋮ Constant norms and numerical radii of matrix powers ⋮ Faces of sets of operators with the numerical range in a prescribed polyhedron ⋮ Anderson’s theorem for compact operators ⋮ Anderson's theorem and \(A\)-spectral radius bounds for semi-Hilbertian space operators ⋮ Condition for the numerical range to contain an elliptic disc ⋮ The numerical range of a nonnegative matrix

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