(r,p)-absolutely summing operators on the space C (T,X) and applications
We give necessary and sufficient conditions for an operator on the space C (T,X) to be (r,p)-absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r,p)-absolutely summing operator is an (r,p)-absolutely summing operator.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337501000434 |
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| _version_ | 1832558846961254400 |
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| author | Dumitru Popa |
| author_facet | Dumitru Popa |
| author_sort | Dumitru Popa |
| collection | DOAJ |
| description | We give necessary and sufficient conditions for an operator on
the space C (T,X) to be (r,p)-absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r,p)-absolutely summing operator is an
(r,p)-absolutely summing operator. |
| format | Article |
| id | doaj-art-2b68df3daf5247ea81f30d6e47a06989 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2b68df3daf5247ea81f30d6e47a069892025-02-03T01:31:25ZengWileyAbstract and Applied Analysis1085-33751687-04092001-01-016530931510.1155/S1085337501000434(r,p)-absolutely summing operators on the space C (T,X) and applicationsDumitru Popa0Department of Mathematics, Ovidius University of Constanta, Constanta 8700, RomaniaWe give necessary and sufficient conditions for an operator on the space C (T,X) to be (r,p)-absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r,p)-absolutely summing operator is an (r,p)-absolutely summing operator.http://dx.doi.org/10.1155/S1085337501000434 |
| spellingShingle | Dumitru Popa (r,p)-absolutely summing operators on the space C (T,X) and applications Abstract and Applied Analysis |
| title | (r,p)-absolutely summing operators on the space C (T,X) and applications |
| title_full | (r,p)-absolutely summing operators on the space C (T,X) and applications |
| title_fullStr | (r,p)-absolutely summing operators on the space C (T,X) and applications |
| title_full_unstemmed | (r,p)-absolutely summing operators on the space C (T,X) and applications |
| title_short | (r,p)-absolutely summing operators on the space C (T,X) and applications |
| title_sort | r p absolutely summing operators on the space c t x and applications |
| url | http://dx.doi.org/10.1155/S1085337501000434 |
| work_keys_str_mv | AT dumitrupopa rpabsolutelysummingoperatorsonthespacectxandapplications |