4 papers · 1 filter
Increasing sequences in ordered Banach spaces -- new theorems and open problems
Jochen Glück
An ordered Banach space is said to have the Levi property or to be regular if every increasing order bounded net (equivalently, sequence) is norm convergent. We prove four theo…
A note on the positivity of inverse operators acting on -algebras
Jochen Glück, Ulrich Groh
For a positive and invertible linear operator acting on a -algebra, we give necessary and sufficient criteria for the inverse operator to be positive, too. Moreov…
Stability via closure relations with applications to dissipative and port-Hamiltonian systems
Jochen Glück, Birgit Jacob, Annika Meyer +2
We consider differential operators that can be represented by means of a so-called closure relation in terms of a simpler operator defined on a larger…
Stability criteria for positive semigroups on ordered Banach spaces
Jochen Glück, Andrii Mironchenko
We consider generators of positive -semigroups and, more generally, resolvent positive operators on ordered Banach spaces and seek for conditions ensuring the negativity o…