تقرير
On the Riemann integrability of the norm of a path in normed spaces
| العنوان: | On the Riemann integrability of the norm of a path in normed spaces |
|---|---|
| المؤلفون: | Álvarez-Samaniego, Borys, Álvarez-Samaniego, Wilson P., Rivera, Luis |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Mathematics, 26E20, 26A42 |
| الوصف: | A useful result is that if a bounded complex-valued path is Riemann-integrable, then its modulus is also Riemann-integrable. The extension of this last result to bounded paths taking values in a normed space is affirmed, as being true, in [3]. However, we show that if a bounded path taking values in a normed space is barely Riemann-integrable, then it is not really guaranteed that the norm of this path is also Riemann-integrable. Comment: 4 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.00248 |
| رقم الأكسشن: | edsarx.2312.00248 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |