Transforming random operators into random bounded operators

Transforming random operators into random bounded operators

Let X, Y be separable Banach spaces and A be a random operator from X into Y. Given two separable Banach spaces E, F. In this paper, we establish sufficient conditions on the deterministic operators W ∈ L(E, X), V ∈ L(Y, F) under which the composition V AW is a random bounded operator.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Random operators and stochastic equations 2008-11, Vol.16 (3), p.293-302
1. Verfasser: Thang, Dang Hung
Format: Artikel
Sprache:eng
Schlagworte:
bounded random operators
nuclear operators
Random operators
summing operators
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Let X, Y be separable Banach spaces and A be a random operator from X into Y. Given two separable Banach spaces E, F. In this paper, we establish sufficient conditions on the deterministic operators W ∈ L(E, X), V ∈ L(Y, F) under which the composition V AW is a random bounded operator.
ISSN:0926-6364
1569-397X
DOI:10.1515/ROSE.2008.016