Complutense University Library

The Banach Spaces L(Infinity)(C(0)) And C(0)(L(Infinity)) Are Not Isomorphic


Cembranos, Pilar and Mendoza Casas, José (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


Official URL:


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

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 09:12
Last Modified:03 Mar 2016 14:53

Repository Staff Only: item control page