Quasi-linear maps

• Autorzy: D. J. Grubb
• Języki publikacji: EN

Abstrakty

EN

A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.

Kategorie tematyczne

• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 198
• Numer: 1
• Strony: 1-15

Daty

wydano

2008

Twórcy

autor

D. J. Grubb

• Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, U.S.A.

Identyfikatory

DOI

10.4064/fm198-1-1