Disjointly strictly-singular operators in Banach lattices
Disjointness preserving and diffuse operators
Dividing measures and narrow operators
We use a new technique of measures on Boolean algebras to investigate narrow operators on vector lattices. First we prove that, under mild assumptions, every finite rank operator is strictly narrow (before it was known that such operators are narrow). Then we show that every order continuous operator from an atomless vector lattice to a purely atomic one is order narrow. This explains in what sense the vector lattice structure of an atomless vector lattice given by an unconditional basis is far...
Domination of operators in the non-commutative setting
We consider majorization problems in the non-commutative setting. More specifically, suppose E and F are ordered normed spaces (not necessarily lattices), and 0 ≤ T ≤ S in B(E,F). If S belongs to a certain ideal (for instance, the ideal of compact or Dunford-Pettis operators), does it follow that T belongs to that ideal as well? We concentrate on the case when E and F are C*-algebras, preduals of von Neumann algebras, or non-commutative function spaces. In particular, we show that, for C*-algebras...
Ein starkes "Null-Zwei"-Gesetz in Lp.
Eine Bemerkung zur Lösung der Operatorgleichung
Elementary Tauberian Theorems For Regular Linear Operators
Elementary Tauberian theorems for regular linear operators.
Equivalence of -irreducibility concepts
Ergodic theorems and perturbations of contraction semigroups
We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.
Expansion of an atomic operator.
Extension of Linear Operators
Extensions of positive operators and extreme points. I
Extensions of positive operators and extreme points. II
Extensions of positive operators and extreme points. III
Extensions of positive operators and extreme points. IV
Extensions uniformes des opérateurs positifs
Extreme operators on AL-spaces
Factoring Operators Through Banach Lattices Not Containing C(0, 1).
Factorisation des isomorphies d’ordre des espaces