Remarks on the existence of copies of c_0 and l_\infty in the space cabv(λ, E)
AbstractWe present some results essentially showing that cabv(λ, E) lives inside cabv(λ, E) if and only if l_\infty lives inside cabv(λ, E). Some applications of this result to other questions (existence of complemented copies of c0 and lifting of the Gelfand-Phillips property) are given.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.