학술저널
C-DUNFORD INTEGRAL AND C-PETTIS INTEGRAL
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 1
-
2008.0321 - 28 (8 pages)
- 0
In this paper, we give the Riemann-type extensions of Dunford integral and Pettis integral, C-Dunford integral and CPettis integral. We prove that a function f is C-Dunford integrable if and only if xf is C-integrable for each x 2 X and prove the controlled convergence theorem for the C-Pettis integral.
1. Introduction
2. Definitions and basic properties
3. Convergence theorem for the C-Pettis integral
Acknowledgement.
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