Extremal \(L_p\)-norms of linear operators and self-similar functions
DOI10.1016/j.laa.2007.09.023zbMath1147.15023OpenAlexW2119520479MaRDI QIDQ2483270
Publication date: 28 April 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2007.09.023
spectral radiuscontractibilitylinear operatorsmoduli of continuityfunctional difference equationsextremal normsexponents of regularity
Lipschitz (Hölder) classes (26A16) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Additive difference equations (39A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sur une courbe plane
- Symmetric iterative interpolation processes
- Lyapunov indicator of discrete inclusions. I
- Uniform refinement of curves
- Algebraic unsolvability of problem of absolute stability of desynchronized systems
- Bounded semigroups of matrices
- The \(p\)-norm joint spectral radius for even integers
- On the accuracy of the ellipsoid norm approximation of the joint spectral radius
- Generalized refinement equations and subdivision processes
- Subdivision schemes in \(L_ p\) spaces
- Computing the joint spectral radius
- An efficient lower bound for the generalized spectral radius of a set of matrices
- On the construction and some properties of self-similar functions in the spaces \(L_{p}[0, 1\)]
- Approximating the spectral radius of sets of matrices in the max-algebra is NP-hard
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- Characterizations of Scaling Functions: Continuous Solutions
- Wavelet Analysis of Refinement Equations
- The generalized joint spectral radius. A geometric approach
- Multifractal formalisms for the local spectral and walk dimensions
- On the regularity of de Rham curves
- Self-similarity and multiwavelets in higher dimensions
- On a Spectral Problem Related to Self-Similar Measures
- Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations
- Computationally Efficient Approximations of the Joint Spectral Radius
- Fractal curves and wavelets
This page was built for publication: Extremal \(L_p\)-norms of linear operators and self-similar functions