A functional calculus based on the numerical range: applications

DOI10.1080/03081080701336610zbMath1135.47010OpenAlexW1979560370MaRDI QIDQ5443477

Michel Crouzeix

Publication date: 21 February 2008

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

Full work available at URL: https://doi.org/10.1080/03081080701336610

zbMATH Keywords

numerical rangespectral setfunctional calculus

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectral sets of linear operators (47A25)

Related Items

Roots in operator and Banach algebras ⋮ Decomposing numerical ranges along with spectral sets ⋮ Polynomial estimates for the method of cyclic projections in Hilbert spaces ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems ⋮ The numerical range and the spectrum of a product of two orthogonal projections ⋮ Some Constants Related to Numerical Ranges ⋮ Operators with minimal pseudospectra and connections to normality ⋮ Ritt operators and convergence in the method of alternating projections

Cites Work

• Unnamed Item
• Unnamed Item
• Iterates of a product of conditional expectation operators
• Numerical range and functional calculus in Hilbert space
• Vector-valued Laplace transforms and Cauchy problems
• The functional calculus for sectorial operators
• On Faber polynomials and Faber expansions
• Subalgebras of C\(^*\)-algebras. II
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Galerkin Finite Element Methods for Parabolic Problems