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

Author: Fong C.K.1

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

Publisher: Springer

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

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

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$47.00 plus tax      Refund Policy

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages.
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A