Functions of operators and the spectral radius

DOI10.1016/0024-3795(80)90250-5zbMath0475.47005OpenAlexW2057167002MaRDI QIDQ1159874

N. J. Young, Vlastimil Pták

Publication date: 1980

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90250-5

zbMATH Keywords

spectral radiussurvey articlefunction of operatorsmaximum problem in finite dimensional Hilbert space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (13)

Sharp estimate on the resolvent of a finite-dimensional contraction ⋮ Tracking poles, representing Hankel operators, and the Nehari problem ⋮ Möbius functions of the shift and extremal operators ⋮ A maximum problem for matrices ⋮ \(H^{\infty}\) interpolation and embedding theorems for rational functions ⋮ The rate of convergence of a matrix power series ⋮ The infinite companion matrix ⋮ An extremal problem for operators ⋮ The solution of Lyapunov's matrix equation by a geometric method ⋮ Biorthogonal systems and the infinite companion matrix ⋮ Numerical algorithms for the Nevanlinna-Pick problem ⋮ Uniqueness in the first maximum problem ⋮ Constrained von Neumann inequalities

Cites Work

• An identity which implies Cohn's theorem on the zeros of a polynomial
• Dissipative operators in a Banach space
• On matrices having equal spectral radius and spectral norm
• Functions of a matrix and their norms
• Norms of powers of matrices with constrained spectra
• Spectral radius, norms of iterates, and the critical exponent
• Formulae for the solution of Lyapunov matrix equations
• Uniqueness of the operator attaining $C(H_n,r,n)$
• Isometric parts of operators and the critical exponent
• Analytic Programmes in Matrix Algebras
• Generalized Interpolation in H ∞
• Sur la norme des fonctions de certains opérateurs
• Norms and the spectral radius of matrices
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