RT Journal Article
T1 Basic sequences and spaceability in l(p) spaces
A1 Cariello, Daniel
A1 Seoane-Sepúlveda, Juan B.
AB Let X be a sequence space and denote by Z(X) the subset of X formed by sequences having only a finite number of zero coordinates. We study algebraic properties of Z(X) and show (among other results) that (for p is an element of [1, infinity]) Z(l(p)) does not contain infinite dimensional closed subspaces. This solves an open question originally posed by R.M. Aron and V.I. Gurariy in 2003 on the linear structure of Z(l(infinity)). In addition to this, we also give a thorough analysis of the existing algebraic structures within the sets Z(X) and X \ Z(X) and their algebraic genericities.
PB Elsevier
SN 0022-1236
YR 2014
FD 2014-03-15
LK https://hdl.handle.net/20.500.14352/33505
UL https://hdl.handle.net/20.500.14352/33505
LA eng
NO CNPq-Brazil
DS Docta Complutense
RD 27 abr 2024