On sequences not enjoying Schur’s property

@article{PabloJiménez2017,
abstract = {Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.},
author = {Pablo Jiménez-Rodríguez},
journal = {Open Mathematics},
keywords = {Schur property; Weakly convergent sequence; Analytic function; weakly convergent sequence; analytic function},
language = {eng},
number = {1},
pages = {233-237},
title = {On sequences not enjoying Schur’s property},
url = {http://eudml.org/doc/287968},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Pablo Jiménez-Rodríguez
TI - On sequences not enjoying Schur’s property
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 233
EP - 237
AB - Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.
LA - eng
KW - Schur property; Weakly convergent sequence; Analytic function; weakly convergent sequence; analytic function
UR - http://eudml.org/doc/287968
ER -