A remark on bases in quotients of
when 
Abstract
In [9] Stiles showed that if
has an infinite-dimensional closed subspace which contains no complemented copy of
; this contrasts with the well-known result of Pelczynski [5] for
. The following curious theorem is the main result of this note: Theorem 1. Let M be an infinite-dimensional closed subspace of
where
. Suppose
has a basis. Then M contains a subspace isomorphic to
and complemented in
.








DOI Code:
10.1285/i15900932v11p231
Full Text: PDF