Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)

Johann Boos, and Toivo Leiger. "Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)." Studia Mathematica 171.3 (2005): 305-309. <http://eudml.org/doc/284897>.

@article{JohannBoos2005,
abstract = {There is a nontrivial gap in the proof of Theorem 5.2 of [2] which is one of the main results of that paper and has been applied three times (cf. [2, Theorem 5.3, (G) in Section 6, Theorem 6.4]). Till now neither the gap has been closed nor a counterexample found. The aim of this paper is to give, by means of some general results, a better understanding of the gap. The proofs that the applications hold will be given elsewhere.},
author = {Johann Boos, Toivo Leiger},
journal = {Studia Mathematica},
keywords = {Hahn space; FK-space; barrelled subspace; set of natural density; Cesàro limitable sequence},
language = {eng},
number = {3},
pages = {305-309},
title = {Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)},
url = {http://eudml.org/doc/284897},
volume = {171},
year = {2005},
}

TY - JOUR
AU - Johann Boos
AU - Toivo Leiger
TI - Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)
JO - Studia Mathematica
PY - 2005
VL - 171
IS - 3
SP - 305
EP - 309
AB - There is a nontrivial gap in the proof of Theorem 5.2 of [2] which is one of the main results of that paper and has been applied three times (cf. [2, Theorem 5.3, (G) in Section 6, Theorem 6.4]). Till now neither the gap has been closed nor a counterexample found. The aim of this paper is to give, by means of some general results, a better understanding of the gap. The proofs that the applications hold will be given elsewhere.
LA - eng
KW - Hahn space; FK-space; barrelled subspace; set of natural density; Cesàro limitable sequence
UR - http://eudml.org/doc/284897
ER -