| Full text | |
| Author(s): |
Santos, Elisa R.
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed Uberlandia, Fac Matemat, BR-38408100 Uberlandia, MG - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | STUDIA MATHEMATICA; v. 224, n. 3, p. 265-276, 2014. |
| Web of Science Citations: | 2 |
| Abstract | |
We introduce a weaker version of the polynomial Daugavet property: a Banach space X has the alternative polynomial Daugavet property (APDP) if every weakly compact polynomial P : X -> X satisfies max(omega is an element of T)vertical bar vertical bar Id+ omega P vertical bar vertical bar=1 + vertical bar vertical bar P vertical bar vertical bar We study the stability of the APDP by co(-), l infinity- and l(1)-sums of Banach spaces. As a consequence, we obtain examples of Banach spaces with the APDP, namely L infinity (mu, X) and C(K, X), where X has the APDP. (AU) | |
| FAPESP's process: | 09/00016-9 - The Daugavet Equation for polynomials and holomorphic mappings |
| Grantee: | Elisa Regina dos Santos |
| Support Opportunities: | Scholarships in Brazil - Doctorate |