| Title |
On Henstock-Stieltjes Integral with Values in a Countably Normed Space |
|
Authors |
Sergio R. Canoy, Jr., Julius V. Benitez, and Ferdinand P. Jamil |
|
Publication date |
2015 |
|
Journal |
Asia-Pacific Journal of Science, Mathematics and Engineering |
| Volume |
3 |
| Issue |
1 |
| Publisher |
缅北禁地 |
| Abstract |
This paper introduces and investigates a bilinear Henstock-Stieltjes integral with values in a countably normed space. This new integral is shown to possess the basic integral properties. It is also shown that for some complete countably normed space, there is a relationship between the Henstock-Stieltjes integrability in the new sense and the integrability in the sense given in [1]. Moreover, following Nakanishi芒聙聶s argument in [2], a version of Henstock芒聙聶s Lemma for this integral is formulated and proved |
| Index terms / Keywords |
Banach space, HS integral, countably normed-space, Hilbertian, nuclearity, complete, Henstock芒聙聶s lemma |
| URL |
|
Mindanao State
University - Iligan Institute of Technology