Double-dual types over the Banach space C(K)
Let K be a compact Hausdorff space and C(K) the Banach space of all real-valued continuous functions on K, with the sup-norm. Types over C(K) (in the sense of Krivine and Maurey) can be uniquely represented by pairs (ℓ,u) of bounded real-valued functions on K, where ℓ is lower semicontinuous, u is u...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2533 |
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| _version_ | 1832568414598594560 |
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| author | Markus Pomper |
| author_facet | Markus Pomper |
| author_sort | Markus Pomper |
| collection | DOAJ |
| description | Let K be a compact Hausdorff space and C(K) the Banach space
of all real-valued continuous functions on K, with the sup-norm.
Types over C(K) (in the sense of Krivine and Maurey) can be
uniquely represented by pairs (ℓ,u) of bounded real-valued
functions on K, where ℓ is lower semicontinuous, u is upper semicontinuous, ℓ≤u, and ℓ(x)=u(x) for all
isolated points x of K. A condition that characterizes the pairs (ℓ,u) that represent double-dual types over C(K) is given. |
| format | Article |
| id | doaj-art-1da6ffdcbc494cf698ae387e7c809027 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1da6ffdcbc494cf698ae387e7c8090272025-02-03T00:59:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005162533254510.1155/IJMMS.2005.2533Double-dual types over the Banach space C(K)Markus Pomper0Department of Mathematics, Indiana University East, Richmond 47374, IN, USALet K be a compact Hausdorff space and C(K) the Banach space of all real-valued continuous functions on K, with the sup-norm. Types over C(K) (in the sense of Krivine and Maurey) can be uniquely represented by pairs (ℓ,u) of bounded real-valued functions on K, where ℓ is lower semicontinuous, u is upper semicontinuous, ℓ≤u, and ℓ(x)=u(x) for all isolated points x of K. A condition that characterizes the pairs (ℓ,u) that represent double-dual types over C(K) is given.http://dx.doi.org/10.1155/IJMMS.2005.2533 |
| spellingShingle | Markus Pomper Double-dual types over the Banach space C(K) International Journal of Mathematics and Mathematical Sciences |
| title | Double-dual types over the Banach space C(K) |
| title_full | Double-dual types over the Banach space C(K) |
| title_fullStr | Double-dual types over the Banach space C(K) |
| title_full_unstemmed | Double-dual types over the Banach space C(K) |
| title_short | Double-dual types over the Banach space C(K) |
| title_sort | double dual types over the banach space c k |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2533 |
| work_keys_str_mv | AT markuspomper doubledualtypesoverthebanachspaceck |