You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
C(K, E) Contains a Complemented Copy of c0
Proceedings of the American Mathematical Society
Vol. 91, No. 4 (Aug., 1984), pp. 556-558
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2044800
Page Count: 3
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Let E be a Banach space and let K be a compact Hausdorff space. We denote by C(K, E) the Banach space of all E-valued continuous functions defined on K, endowed with the supremum norm. We prove in this paper that if K is infinite and E is infinite-dimensional, then C(K, E) contains a complemented subspace isomorphic to c0.
Proceedings of the American Mathematical Society © 1984 American Mathematical Society