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UNEXPECTED SUBSPACES OF TENSOR PRODUCTS |
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| Authors: | Sanchez, Felix Cabello Perez-Garcia, David Villanueva, Ignacio |
| Affiliation: | Departamento de Matemáticas, Universidad de Extremadura Avenida de Elvas, 06071 Badajoz, Spain fcabello{at}unex.es Área de Matemática Aplicada, Departamento de Matemáticas y Física Aplicadas y Ciencias de la Naturaleza, Escuela Superior de Ciencias Experimentales y Tecnología, Universidad Rey Juan Carlos Edificio Departamental II, 28933 Móstoles (Madrid), Spain david.perez.garcia{at}urjc.es Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid 28040 Madrid, Spain ignaciov{at}mat.ucm.es |
| Abstract: | We describe complemented copies of  2 both in C(K1)  C(K2) when at least one of the compact spaces Kiis not scattered and in L1(µ1) L1(µ2) when at least one of the measures is not atomic.The corresponding local construction gives uniformly complementedcopies of the  in c0 c0. We continue the study of c0 c0 showing that it contains a complementedcopy of Stegall's space  and proving that (c0 c0)' is isomorphicto  , together with other results. In the last section we use Hardy spaces to find an isomorphiccopy of Lp in the space of compact operators from Lq to Lr,where 1 < p, q, r <  and 1/r = 1/p + 1/q. |
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