The Toeplitz-Hausdorff theorem and robust stability theory.

DOI10.1007/BF03025413zbMath1052.47502OpenAlexW2040246236MaRDI QIDQ5949234

Alexander Markus, Avraham Feintuch

Publication date: 18 November 2001

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03025413

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Robust stability (93D09) Numerical range, numerical radius (47A12) Applications of operator theory in systems, signals, circuits, and control theory (47N70) History of operator theory (47-03) History of functional analysis (46-03)

Related Items

Reduction of joint \(c\)-numerical ranges ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Convexity of the joint numerical range: Topological and differential geometric viewpoints. ⋮ In search of convexity: diagonals and numerical ranges ⋮ Linear images of joint unitary orbits of Hermitian matrices ⋮ The Toeplitz-Hausdorff theorem revisited: Relating linear algebra and geometry ⋮ LMI relaxations in robust control ⋮ Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on the convexity and positive definiteness concerning Hermitian matrices
• Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems
• Hermitian Forms and the Fibration of Spheres
• m-form numerical range and the computation of the structured singular value
• The Structured Singular Value for Linear Input/Output Operators
• The Toeplitz-Hausdorff Theorem Explained