RT Journal Article
T1 The Banach Spaces L(Infinity)(C(0)) And C(0)(L(Infinity)) Are Not Isomorphic
A1 Cembranos, Pilar
A1 Mendoza Casas, José
AB 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.
PB Elsevier
SN 0022-247X
YR 2010
FD 2010-02
LK https://hdl.handle.net/20.500.14352/42120
UL https://hdl.handle.net/20.500.14352/42120
LA eng
NO 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-HollandPublishing, Amsterdam/New York, 1978; second ed., Johann Ambrosius Barth, Heidelberg, 1995.
DS Docta Complutense
RD 2 may 2024