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 |
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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. |