Cembranos Diaz, Pilar and Mendoza Casas, Jose (2010) The Banach Spaces L(Infinity)(C(0)) And C(0)(L(Infinity)) Are Not Isomorphic. Journal of Mathematical Analysis and Applications, 367 (2). pp. 461-463. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X1000096X
Abstract
The statement of the title is proved. It follows from this that the spaces c(0)(l(p)), l(p)(c(0)) and l(p)(l(q)), 1 <= p, q <= +infinity, make a family of mutually non-isomorphic Banach spaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Banach Spaces; Isomorphism; Sequence Spaces;Mathematics, Applied; Mathematics |
| Subjects: | Sciences > Mathematics > Numerical analysis |
| ID Code: | 14897 |
| References: | 1] F. Albiac, N.J. Kalton, Topics in Banach Space Theory, Grad. Texts in Math., vol. 233, Springer, New York, 2006. [2] C. Bessaga, A. Pełczyn´ ski, Some remarks on conjugate spaces containing subspaces isomorphic to the space c0, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 6 (1958) 249–250. [3] P. Cembranos, J. Mendoza, On the mutually non-isomorphic p(q) spaces, in press. [4] J. Diestel, Sequences and Series in Banach Spaces, Grad. Texts in Math., vol. 92, Springer-Verlag, 1984. [5] J. Lindenstrauss, L. Tzafriri, Classical Banach Spaces I, Ergeb. Math. Grenzgeb., vol. 92, Springer-Verlag, 1977. [6] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978; first ed., North-Holland Publishing, Amsterdam/New York, 1978; second ed., Johann Ambrosius Barth, Heidelberg, 1995. |
| Deposited On: | 19 Apr 2012 11:12 |
| Last Modified: | 05 Dec 2012 15:57 |
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