| Full text | |
| Author(s): |
Favaro, Vinicius V.
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN; v. 17, n. 3, p. 535-569, JUL-SEP 2010. |
| Web of Science Citations: | 4 |
| Abstract | |
In this article we prove existence and approximation results for convolution equations on the spaces of (s; (r, q))-quasi-nuclear mappings of a given type and order on a Banach space E. As special case this yields results for partial differential equations with constant coefficients for entire functions on finite-dimensional complex Banach spaces. We also prove division theorems for (s; m (r, q))-summing functions of a given type and order, that are essential to prove the existence and approximation results. (AU) | |