| dc.creator | MUJICA, J | |
| dc.date | 1991 | |
| dc.date | APR | |
| dc.date | 2014-12-16T11:35:27Z | |
| dc.date | 2015-11-26T17:30:08Z | |
| dc.date | 2014-12-16T11:35:27Z | |
| dc.date | 2015-11-26T17:30:08Z | |
| dc.date.accessioned | 2018-03-29T00:17:05Z | |
| dc.date.available | 2018-03-29T00:17:05Z | |
| dc.identifier | Transactions Of The American Mathematical Society. Amer Mathematical Soc, v. 324, n. 2, n. 867, n. 887, 1991. | |
| dc.identifier | 0002-9947 | |
| dc.identifier | WOS:A1991FG94400016 | |
| dc.identifier | 10.2307/2001745 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/81085 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/81085 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/81085 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1285449 | |
| dc.description | The main result in this paper is the following linearization theorem. For each open set U in a complex Banach space E, there is a complex Banach space G infinity(U) and a bounded holomorphic mapping g(U): U --> G infinity(U) with the following universal property: For each complex Banach space F and each bounded holomorphic mapping f: U --> F, there is a unique continuous linear operator T(f): G infinity(U) --> F such that T(f) omicron g(U) = f. The correspondence f --> T(f) is an isometric isomorphism between the space H infinity(U ; F) of all bounded holomorphic mappings from U into F, and the space L(G infinity(U); F) of all continuous linear operators from G infinity(U) into F. These properties characterize G infinity(U) uniquely up to an isometric isomorphism. The rest of the paper is devoted to the study of some aspects of the interplay between the spaces H infinity(U; F) and L(G infinity(U); F). | |
| dc.description | 324 | |
| dc.description | 2 | |
| dc.description | 867 | |
| dc.description | 887 | |
| dc.language | en | |
| dc.publisher | Amer Mathematical Soc | |
| dc.publisher | Providence | |
| dc.relation | Transactions Of The American Mathematical Society | |
| dc.relation | Trans. Am. Math. Soc. | |
| dc.rights | aberto | |
| dc.source | Web of Science | |
| dc.title | LINEARIZATION OF BOUNDED HOLOMORPHIC MAPPINGS ON BANACH-SPACES | |
| dc.type | Artículos de revistas | |
