Estimate for the norm of matrix-valued functions

DOI10.1080/03081089308818242zbMath0778.15015OpenAlexW1986809273MaRDI QIDQ4693430

Michael I. Gil'

Publication date: 3 January 1994

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

Full work available at URL: https://doi.org/10.1080/03081089308818242

zbMATH Keywords

stabilityeigenvaluesspectrumconvex hullestimates for operator normsfunctions of matrices

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (13)

The Gelfand-Shilov type estimate for Green's function of the bounded solutions problem ⋮ Matrix functions nonregular on the convex hull of the spectrum ⋮ Norm estimates for functions of a Hilbert-Schmidt operator nonregular on the convex hull of the spectrum ⋮ Bounds and positivity conditions for operator valued functions in a Hilbert lattice ⋮ Resolvents of functions of operators with Hilbert-Schmidt hermitian components ⋮ Norm estimates for functions of non-selfadjoint operators nonregular on the convex hull of the spectrum ⋮ Estimates for functions of two commuting infinite matrices and applications ⋮ AN ESTIMATE OF APPROXIMATION OF A MATRIX-VALUED FUNCTION BY AN INTERPOLATION POLYNOMIAL ⋮ Norm estimates for functions of two non-commuting operators ⋮ Norm estimates for functions of matrices with simple spectrum ⋮ Estimates for entries of matrix valued functions of infinite matrices ⋮ Perturbations of operator functions: a survey ⋮ Estimates for norms of matrix-valued and operator-valued functions and some of their applications

Cites Work

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