Applications of infinitary combinatorics in Banach Spaces of the forms $C(K)$, $C(...
Immersions and isomorphisms between spaces of continuous functions
Stability of subspaces, complemented subspaces and isomorphisms in Banach Spaces
| Full text | |
| Author(s): |
Garcia, Domingo
;
Maestre, Manuel
;
Vieira, Daniela M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS; v. 111, n. 1, p. 223-230, JAN 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Given two balanced compact subsets K and L of two Banach spaces X and Y respectively such that every continuous m-homogeneous polynomial on and on is approximable, for all , we characterize when the algebras of holomorphic germs and are topologically algebra isomorphic. This happens if and only if the polynomial hulls of K and L on their respective biduals are biholomorphically equivalent. (AU) | |
| FAPESP's process: | 14/07373-0 - Extensions of holomorphic functions of bounded type on Banach Spaces |
| Grantee: | Daniela Mariz Silva Vieira |
| Support Opportunities: | Scholarships abroad - Research |