Preservation of extreme points
We characterize the extreme points of the closed unit ball of the dual of a Banach space which are preserved by the adjoint of any extreme operator. The result is related to the structure topology introduced by Alfsen and Effros on the set of all extreme points in the dual of any Banach space. As a...
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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MDPI
2022
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| Online Access: | http://hdl.handle.net/10835/13910 |
| _version_ | 1789406400458260480 |
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| author | Mena-Jurado, Juan Francisco Navarro Pascual, Juan Carlos |
| author_facet | Mena-Jurado, Juan Francisco Navarro Pascual, Juan Carlos |
| author_sort | Mena-Jurado, Juan Francisco |
| collection | DSpace |
| description | We characterize the extreme points of the closed unit ball of the dual of a Banach space which are preserved by the adjoint of any extreme operator. The result is related to the structure topology introduced by Alfsen and Effros on the set of all extreme points in the dual of any Banach space. As a consequence, we prove that c0(I) is the only Banach space such that the adjoint of every extreme operator taking values into it preserves extreme points. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-13910 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2022 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-139102023-04-12T19:37:17Z Preservation of extreme points Mena-Jurado, Juan Francisco Navarro Pascual, Juan Carlos Banach space extreme operato structure topology We characterize the extreme points of the closed unit ball of the dual of a Banach space which are preserved by the adjoint of any extreme operator. The result is related to the structure topology introduced by Alfsen and Effros on the set of all extreme points in the dual of any Banach space. As a consequence, we prove that c0(I) is the only Banach space such that the adjoint of every extreme operator taking values into it preserves extreme points. 2022-07-25T09:47:02Z 2022-07-25T09:47:02Z 2022-06-29 info:eu-repo/semantics/article 2227-7390 http://hdl.handle.net/10835/13910 10.3390/math10132268 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI |
| spellingShingle | Banach space extreme operato structure topology Mena-Jurado, Juan Francisco Navarro Pascual, Juan Carlos Preservation of extreme points |
| title | Preservation of extreme points |
| title_full | Preservation of extreme points |
| title_fullStr | Preservation of extreme points |
| title_full_unstemmed | Preservation of extreme points |
| title_short | Preservation of extreme points |
| title_sort | preservation of extreme points |
| topic | Banach space extreme operato structure topology |
| url | http://hdl.handle.net/10835/13910 |
| work_keys_str_mv | AT menajuradojuanfrancisco preservationofextremepoints AT navarropascualjuancarlos preservationofextremepoints |