The Toeplitz-Hausdorff theorem revisited: Relating linear algebra and geometry
From MaRDI portal
Publication:972572
DOI10.1007/BF02985393zbMath1187.47008OpenAlexW1989310556MaRDI QIDQ972572
Publication date: 21 May 2010
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02985393
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Quadratic and bilinear forms, inner products (15A63)
Related Items (6)
On a multi-dimensional generalization of the notions of orthostochastic and unistochastic matrices ⋮ Joint numerical ranges, quantum maps, and joint numerical shadows ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Gau-Wu numbers of nonnegative matrices ⋮ Curvatures, volumes and norms of derivatives for curves in Riemannian manifolds ⋮ Real numerical shadow and generalized B-splines
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The numerical range: A tool for robust stability studies?
- On the numerical range of a bounded operator
- Geometry of the numerical range of matrices
- Differential topology of numerical range
- Convexity of the joint numerical range: Topological and differential geometric viewpoints.
- Numerical range of matrices and Levinger's theorem
- Polygons and Numerical Ranges
- Diameter and minimal width of the numerical range
- Über den Wertevorrat einer Matrix
- Numerical ranges, Poncelet curves, invariant measures
- The Toeplitz-Hausdorff theorem and robust stability theory.
- On the shape of numerical range of matrix polynomials
This page was built for publication: The Toeplitz-Hausdorff theorem revisited: Relating linear algebra and geometry