Almost interior points in ordered Banach spaces and the long-term behaviour of strongly positive operator semigroups

DOI10.4064/sm190111-18-10zbMath1462.46015arXiv1901.03306OpenAlexW3015064131MaRDI QIDQ3298545

Jochen Glück, Martin R. Weber

Publication date: 14 July 2020

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03306

zbMATH Keywords

strong convergenceuniform convergencealmost interior pointsstrict positivitylong-time behaviourordered Banach spacepositive operator semigroupstrong positivityquasi-interior points

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Positive linear operators and order-bounded operators (47B65) Ordered normed spaces (46B40)

Related Items (7)

Existence and uniqueness of fixed points for monotone operators in partially ordered Banach spaces and applications ⋮ The Jordan decomposition in ordered normed spaces ⋮ A characterization of the individual maximum and anti-maximum principle ⋮ Portfolio optimization with two coherent risk measures ⋮ Stability criteria for positive linear discrete-time systems ⋮ Nonlinear small-gain theorems for input-to-state stability of infinite interconnections ⋮ Uniform convergence of operator semigroups without time regularity

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