A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals

Author: Fong C.K.

Source: Czechoslovak Mathematical Journal, Volume 52, Number 3, September 2002 , pp. 531-536(6)

Publisher: Springer

Abstract:

We show that a Pettis integrable function from a closed interval to a Banach space is Henstock-Kurzweil integrable. This result can be considered as a continuous version of the celebrated Orlicz-Pettis theorem concerning series in Banach spaces.

Keywords: Pettis integrability; HK-integrals; Saks-Henstock's property

Language: English

Document Type: Research article

Affiliations: 1: School of Mathematics and Statistics, Carleton University, KIS 5B6 Ottawa, Ontario, Canada, ckfong@math.carleton.ca

Publication date: 2002-09-01

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