Journal
| Title | On Henstock-Stieltjes Integral with Values in a Countably Normed Space Posted by Ferdinand Jamil |
| 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 | MSU-Iligan Institute of Technology |
| 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 Nakanishiâs argument in [2], a version of Henstockâs Lemma for this integral is formulated and proved |
| Index terms / Keywords | Banach space, HS integral, countably normed-space, Hilbertian, nuclearity, complete, Henstockâs lemma |
| URL | https://sites.google.com/g.msuiit.edu.ph/apjsme/issues/archive/volume-3-number-1 |