| dc.creator | Dineen, S | |
| dc.creator | Mujica, J | |
| dc.date | 2012 | |
| dc.date | SEP | |
| dc.date | 2014-08-01T18:24:04Z | |
| dc.date | 2015-11-26T17:01:32Z | |
| dc.date | 2014-08-01T18:24:04Z | |
| dc.date | 2015-11-26T17:01:32Z | |
| dc.date.accessioned | 2018-03-28T23:49:22Z | |
| dc.date.available | 2018-03-28T23:49:22Z | |
| dc.identifier | Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas. Springer, v. 106, n. 2, n. 457, n. 469, 2012. | |
| dc.identifier | 1578-7303 | |
| dc.identifier | WOS:000308000700015 | |
| dc.identifier | 10.1007/s13398-012-0065-7 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/78333 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/78333 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1278745 | |
| dc.description | Let denote the vector space of all complex-valued holomorphic functions on an open subset U of a Banach space E, with the Nachbin compact-ported topology. Let denote the vector space of all complex-valued holomorphic germs on a compact subset K of E, with its natural inductive limit topology. Let denote the Banach space of all continuous complex-valued m-homogeneous polynomials on E. When E has a Schauder basis, we show that has the approximation property for every compact subset K of E if and only if has the approximation property for every . When E has an unconditional Schauder basis, we show that has the approximation property for every pseudoconvex open subset U of E if and only if has the approximation property for every . These theorems apply in particular to the classical Banach spaces and , and to the original Tsirelson space . | |
| dc.description | 106 | |
| dc.description | 2 | |
| dc.description | 457 | |
| dc.description | 469 | |
| dc.language | en | |
| dc.publisher | Springer | |
| dc.publisher | New York | |
| dc.publisher | EUA | |
| dc.relation | Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas | |
| dc.relation | Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. | |
| dc.rights | aberto | |
| dc.rights | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
| dc.source | Web of Science | |
| dc.subject | Holomorphic function | |
| dc.subject | Holomorphic germ | |
| dc.subject | Homogeneous polynomial | |
| dc.subject | Banach space | |
| dc.subject | Schauder basis | |
| dc.subject | Approximation property | |
| dc.subject | Banach-spaces | |
| dc.subject | Variables | |
| dc.title | The approximation property for spaces of holomorphic functions on infinite dimensional spaces III | |
| dc.type | Artículos de revistas | |
