A disjointness type property of conditional expectation operators

• Autorzy: Beata Randrianantoanina
• Języki publikacji: EN

Abstrakty

EN

We give a characterization of conditional expectation operators through a disjointness type property similar to band-preserving operators. We say that the operator T:X→ X on a Banach lattice X is semi-band-preserving if and only if for all f, g ∈ X, f ⊥ Tg implies that Tf ⊥ Tg. We prove that when X is a purely atomic Banach lattice, then an operator T on X is a weighted conditional expectation operator if and only if T is semi-band-preserving.

Kategorie tematyczne

• 46B45: Banach sequence spaces
• 46B42: Banach lattices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 1
• Strony: 9-20

Daty

wydano

2005

Twórcy

autor

Beata Randrianantoanina

• Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, U.S.A.

Identyfikatory

DOI

10.4064/cm102-1-2