کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899854 | 1631552 | 2018 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Connected polynomials and continuity
ترجمه فارسی عنوان
چندجملهای متصل و پیوستگی
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
As it is well-known, fâRR is continuous if and only if f maps continua (compact, connected sets) to continua. The same holds for mappings between any two (real or complex) normed spaces. However, when we restrict ourselves to polynomials P:EâK, where E is a K-normed space, then it was proved in 2012 that P is continuous if and only if it transforms compact sets into compact sets. Here we show that (if K=C) P is continuous if and only if it transforms connected sets into connected sets. Although we provide some partial results for K=R, the general case in the real setting remains still open.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 1, 1 June 2018, Pages 298-304
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 1, 1 June 2018, Pages 298-304
نویسندگان
H.J. Cabana-Méndez, G.A. Muñoz-Fernández, J.B. Seoane-Sepúlveda,