Locally eventually positive operator semigroups

Connexion with Operator Semigroups

Almost Factorizable Locally Inverse Semigroups

A factorizable inverse monoid can be identified, up to isomorphism, with an inverse submonoid M of a symmetric inverse monoid I(X) where each element of M is a restriction of a permutation of X belonging to M . So factorizable inverse monoids are natural objects, and appear in a number of branches of mathematics, cf. [12], [4]. The notion of an almost factorizable inverse semigroup was introduc...

On supermatrix idempotent operator semigroups

One-parameter semigroups of antitriangle idempotent supermatrices and corresponding superoperator semigroups are introduced and investigated. It is shown that t-linear idempotent superoperators and exponential superoperators are mutually dual in some sense, and the first gives additional to exponential solution to the initial Cauchy problem. The corresponding functional equation and analog of r...

Potentially eventually positive double star sign patterns

In this work, the potentially eventually positive double star sign patterns are characterized. It is shown that, up to equivalence, an (m + n) × (m + n) double star sign pattern is potentially eventually positive if and only if it is a superpattern of four specific sign patterns. © 2012 Elsevier Ltd. All rights reserved.

Operator Semigroups for Convergence Analysis

The paper serves as a review on the basic results showing how functional analytic tools have been applied in numerical analysis. It deals with abstract Cauchy problems and present how their solutions are approximated by using space and time discretisations. To this end we introduce and apply the basic notions of operator semigroup theory. The convergence is analysed through the famous theorems ...