Type and cotype of some Banach spaces
Type and cotype are computed for Banach spaces generated by some positive sublinear operators and Banach function spaces. Applications of the results yield that under certain assumptions Clarkson's inequalities hold in these spaces.
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000309 |
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| _version_ | 1832563283305955328 |
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| author | Mieczyslaw Mastylo |
| author_facet | Mieczyslaw Mastylo |
| author_sort | Mieczyslaw Mastylo |
| collection | DOAJ |
| description | Type and cotype are computed for Banach spaces generated by some positive sublinear operators and Banach function spaces. Applications of the results yield that under certain assumptions Clarkson's inequalities hold in these spaces. |
| format | Article |
| id | doaj-art-3ce037726832438db63bc4b241d548ee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3ce037726832438db63bc4b241d548ee2025-02-03T01:20:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115223524010.1155/S0161171292000309Type and cotype of some Banach spacesMieczyslaw Mastylo0Institute of Mathematics, A. Mickiewicz University, Matejki 48/49, Poznán 60-769, PolandType and cotype are computed for Banach spaces generated by some positive sublinear operators and Banach function spaces. Applications of the results yield that under certain assumptions Clarkson's inequalities hold in these spaces.http://dx.doi.org/10.1155/S0161171292000309typecotypeClarkson's inequalities. |
| spellingShingle | Mieczyslaw Mastylo Type and cotype of some Banach spaces International Journal of Mathematics and Mathematical Sciences type cotype Clarkson's inequalities. |
| title | Type and cotype of some Banach spaces |
| title_full | Type and cotype of some Banach spaces |
| title_fullStr | Type and cotype of some Banach spaces |
| title_full_unstemmed | Type and cotype of some Banach spaces |
| title_short | Type and cotype of some Banach spaces |
| title_sort | type and cotype of some banach spaces |
| topic | type cotype Clarkson's inequalities. |
| url | http://dx.doi.org/10.1155/S0161171292000309 |
| work_keys_str_mv | AT mieczyslawmastylo typeandcotypeofsomebanachspaces |