Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis

Risultato della ricerca: Article

2 Citazioni (Scopus)

Abstract

Let X be a Banach space with a Schauder basis {en}, and let Φ(I)= ∑n en ∫I fn(t)dt bea finitely additive interval measure on the unit interval [0, 1], where the integrals are taken in the senseof Henstock–Kurzweil. Necessary and sufficient conditions are given for Φ to be the indefinite integral ofa Henstock–Kurzweil–Pettis (or Henstock, or variational Henstock) integrable function f:[0, 1] → X.
Lingua originaleEnglish
pagine (da-a)219-234
Numero di pagine16
RivistaActa Mathematica Sinica
Volume28 (2)
Stato di pubblicazionePublished - 2012

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Entra nei temi di ricerca di 'Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis'. Insieme formano una fingerprint unica.

  • Cita questo