Continuous linear functionals on the space of Borel vector measures

• Autorzy: Pola Siwek
• Języki publikacji: EN

Abstrakty

EN

We study properties of the space ℳ of Borel vector measures on a compact metric space X, taking values in a Banach space E. The space ℳ is equipped with the Fortet-Mourier norm $||·||_{ℱ}$ and the semivariation norm ||·||(X). The integral introduced by K. Baron and A. Lasota plays the most important role in the paper. Investigating its properties one can prove that in most cases the space $(ℳ,||·||_{ℱ})*$ is contained in but not equal to the space (ℳ,||·||(X))*. We obtain a representation of the continuous functionals on ℳ in some particular cases.

Kategorie tematyczne

• 28B05: Vector-valued set functions, measures and integrals
• 46E27: Spaces of measures
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 93
• Numer: 3
• Strony: 199-209

Daty

wydano

2008

Twórcy

autor

Pola Siwek

• Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/ap93-3-1