Publication: The Banach Spaces L(Infinity)(C(0)) And C(0)(L(Infinity)) Are Not Isomorphic
Loading...
Files
Full text at PDC
Publication Date
2010-02
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Citations
Exportar
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.
Description
UCM subjects
Unesco subjects
Keywords
Citation
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.