Please use this identifier to cite or link to this item:
http://hdl.handle.net/10497/23429| Title: | Authors: | Subjects: | Banach-Steinhaus theorem Henstock-Kurzweil integral Denjoy space Hahn-Banach theorem Riesz representation theorem |
Issue Date: | 2021 |
Citation: | Ng, W. L. (2021). Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions. New Zealand Journal of Mathematics, 51, 79-83. https://doi.org/10.53733/114 |
Journal: | New Zealand Journal of Mathematics |
Abstract: | In this paper, it is shown how the Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions on a closed bounded interval, equipped with the uniform norm, can follow from the Banach-Steinhaus theorem for the Denjoy space by applying the classical Hahn-Banach theorem and Riesz representation theorem. |
URI: | ISSN: | 1179-4984 |
DOI: | File Permission: | Open |
File Availability: | With file |
| Appears in Collections: | Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| NZJM-51-79.pdf | 258.9 kB | Adobe PDF | View/Open |
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