The Denjoy extension of the Riemann and McShane integrals

Czechoslovak Mathematical Journal

Volumn 50, Issue 3, 2000, Pages 615-625

  Park, Jae Myung ^a  

^a Chungnam National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035648213     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022845929564     Document Type: Article

References (10)

1. J. Diestel, J. J. Uhl: Vector Measures. Amer. Math. Soc., Providence, R. I., 1977.
2. D. H. Fremlin: The Henstock and McShane integrals of vector-valued functions. Illinois J. Math. 38 (1994), 471-479.
3. D. H. Fremlin, J. Mendoza: On the integration of vector-valued functions. Illinois J. Math. 38 (1994), 127-147.
4. R. A. Gordon: The Denjoy extention of the Bochner, Pettis, and Dunford integrals. Studia Math. 92 (1989), 73-91.
5. R. A. Gordon: The McShane integral of Banach-valued functions. Illinois J. Math. 34 (1990), 557-567.
6. R. A. Gordon: Riemann integration in Banach spaces. Rocky Mountain J. Math. 21 (1991), 923-949.
7. R. A. Gordon: The Integrals of Lebesgue, Denjoy, Perron, and Henstock. Amer. Math. Soc., 1994.
8. R. A. Gordon: Differentiation in Banach spaces, preprint.
9. J. M. Park: Bounded convergence theorem and integral operator for operator valued measures. Czechoslovak Math. J. 47(122) (1997), 425-430.
10. B. J. Pettis: Differentiation in Banach spaces. Duke Math. J. 5 (1939), 254-269.