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Cotype and absolutely summing linear operators |
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| Authors: | Geraldo Botelho Daniel Pellegrino Pilar Rueda |
| Affiliation: | 1. Faculdade de Matem??tica, Universidade Federal de Uberlandia, Uberlandia, 38400-902, Brazil 2. Departamento de Matem??tica, Universidade Federal da Para??ba, Jo?o Pessoa, 58051-900, Brazil 3. Departamento de An??lisis Matem??tico, Universidad de Valencia, 46100, Burjasot, Valencia, Spain |
| Abstract: | New applications of cotype to the theory of absolutely summing linear operators between Banach spaces are proved in this paper. Among other consequences we extend/complement some classical results of Bennett (Duke Math J 44:603?C639, 1977) on the existence of non-absolutely summing operators between ? p spaces and of Davis and Johnson (Stud Math 51:81?C85, 1974) on the existence of compact non-absolutely summing linear operators. We also point out that some of our results are sharp. |
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