Numerical Ranges of Operators and Matrices

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

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The numerical range of a contraction with finite defect numbers
Arveson's criterion for unitary similarity
The numerical radius of a commuting product
Numerical radii of zero-one matrices
Crawford numbers of powers of a matrix
Determination of inner functions by their value sets on the circle
The numerical range of $3 \times 3$ matrices
The constrained bilinear form and the C-numerical range
Higher rank numerical ranges and low rank perturbations of quantum channels
A remark on the convexity and positive definiteness concerning Hermitian matrices
Some remarks on C*-convexity
Completely positive maps on C*-algebras and the left matricial spectra of an operator
Numerical ranges and Poncelet curves
UB-matrices and conditions for Poncelet polygon to be closed
Bounds for analytical functions of matrices
On matrices whose numerical ranges have circular or weak circular symmetry
Normal forms and joint numerical ranges of doubly commuting matrices
Matrix powers with circular numerical range
Symbolic calculus of operators with unit numerical radius
Subalgebras of $C^ *$-algebras
The powers of an operator of numerical radius one
Harmonic analysis of operators on Hilbert space
TheC-numerical range of matrices is star-shaped
Imbedding Conditions for Hermitian and Normal Matrices
On the Field of Values of a Matrix
Diameter and minimal width of the numerical range
Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
Condition for the higher rank numerical range to be non-empty
A conjecture of marcus on the generalized numerical range
The unitary equivalence of compact operators
A theorem on numerical range
The Boundary of the Numerical Range
Numerical range ofs(φ)
Generalized numerical ranges, joint positive definiteness and multiple eigenvalues
Uniqueness of the numerical range of truncated shifts
Numerical radius inequalities for Hilbert space operators
Numerical Ranges of Hilbert Space Operators
The joint numerical range of commuting matrices
Which set is the numerical range of an operator?
The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
Generalized Interpolation in H ∞
On the Numerical Radius of a Linear Operator
Mapping Theorems for the Numerical Range
Multiplicative properties of the numerical radius in operator theory.
Matrices with Circular Symmetry on their Unitary Orbits and C-Numerical Ranges
Über den Wertevorrat einer Matrix