Abstract of a paper by Mohsen Alimohammady
This is an announcement for the paper "Containment of $\c_{\bf 0}$ and $\ell_{\bf 1}$ in $\Pi_{\bf 1} \hbox{\bf (}\E\hbox{\bf ,}\ \F\hbox{\bf )}$" by Mohsen Alimohammady. Abstract: Suppose $\Pi_{1} (E, F)$ is the space of all absolutely 1-summing operators between two Banach spaces $E$ and $F$. We show that if $F$ has a copy of $c_{0}$, then $\Pi_{1} (E, F)$ will have a copy of $c_{0}$, and under some conditions if $E$ has a copy of $\ell_{1}$ then $\Pi_{1} (E, F)$ would have a complemented copy of $\ell_{1}$. Archive classification: Functional Analysis Mathematics Subject Classification: 47B10; 46B20 Remarks: 4 pages The source file(s), mat01.cls: 37258 bytes, mathtimy.sty: 20 bytes, pm2197new.tex: 11816 bytes, is(are) stored in gzipped form as 0607651.tar.gz with size 14kb. The corresponding postcript file has gzipped size 25kb. Submitted from: amohsen@umz.ac.ir The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0607651 or http://arXiv.org/abs/math.FA/0607651 or by email in unzipped form by transmitting an empty message with subject line uget 0607651 or in gzipped form by using subject line get 0607651 to: math@arXiv.org.
participants (1)
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Dale Alspach