Measures under the flat norm as ordered normed vector space

DOI10.1007/s11117-017-0503-zzbMath1390.28004OpenAlexW2618843012MaRDI QIDQ1746017

Piotr Gwiazda, Anna Marciniak-Czochra, Horst R. Thieme

Publication date: 19 April 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-017-0503-z

zbMATH Keywords

measuresdynamical systemsspectral radiusKrein-Rutman theoremhomogeneous mapsordered normed vector space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Spaces of measures, convergence of measures (28A33) Positive linear operators and order-bounded operators (47B65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Applications of operator theory in chemistry and life sciences (47N60) Spaces of measures (46E27) Spectral theory; eigenvalue problems on manifolds (58C40) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (9)

A structured coagulation-fragmentation equation in the space of radon measures: Unifying discrete and continuous models ⋮ Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations ⋮ Norming and dense sets of extreme points of the unit ball in spaces of bounded Lipschitz functions ⋮ Modelling physiologically structured populations: renewal equations and partial differential equations ⋮ One dimensional reduction of a renewal equation for a measure-valued function of time describing population dynamics ⋮ Diffusive limit to a selection-mutation equation with small mutation formulated on the space of measures ⋮ Finite difference schemes for a structured population model in the space of measures ⋮ Discrete-time dynamics of structured populations via Feller kernels ⋮ Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law

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