Completely positive linear operators for Banach spaces
Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual. The extreme point results of Arveson are reformulated in this more general setting.
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294000049 |
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| _version_ | 1850106961050206208 |
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| author | Mingze Yang |
| author_facet | Mingze Yang |
| author_sort | Mingze Yang |
| collection | DOAJ |
| description | Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual. The extreme point results of Arveson are reformulated in this more general setting. |
| format | Article |
| id | doaj-art-4c0d323a4ad94d028d307ae96c1852ec |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4c0d323a4ad94d028d307ae96c1852ec2025-08-20T02:38:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-01171273010.1155/S0161171294000049Completely positive linear operators for Banach spacesMingze Yang0Department of Mathematics, University of Saskatchewan, Sask., Saskatoon S7N 0W0, CanadaUsing ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual. The extreme point results of Arveson are reformulated in this more general setting.http://dx.doi.org/10.1155/S0161171294000049Banach spacescompletely positive operatorsextreme pointspure elements. |
| spellingShingle | Mingze Yang Completely positive linear operators for Banach spaces International Journal of Mathematics and Mathematical Sciences Banach spaces completely positive operators extreme points pure elements. |
| title | Completely positive linear operators for Banach spaces |
| title_full | Completely positive linear operators for Banach spaces |
| title_fullStr | Completely positive linear operators for Banach spaces |
| title_full_unstemmed | Completely positive linear operators for Banach spaces |
| title_short | Completely positive linear operators for Banach spaces |
| title_sort | completely positive linear operators for banach spaces |
| topic | Banach spaces completely positive operators extreme points pure elements. |
| url | http://dx.doi.org/10.1155/S0161171294000049 |
| work_keys_str_mv | AT mingzeyang completelypositivelinearoperatorsforbanachspaces |