Sequences of 0's and 1's: sequence spaces with the separable Hahn property

@article{MariaZeltser2007,
abstract = {In [3] it was discovered that one of the main results in [1] (Theorem 5.2), applied to three spaces, contains a nontrivial gap in the argument, but neither the gap was closed nor a counterexample was provided. In [4] the authors verified that all three above mentioned applications of the theorem are true and stated a problem concerning the topological structure of one of these three spaces. In this paper we answer the problem and give a counterexample to the theorem in doubt. Also we establish a new way of constructing separable Hahn spaces.},
author = {Maria Zeltser},
journal = {Studia Mathematica},
keywords = {Hahn property; separable Hahn property; matrix Hahn property; inclusion theorems; Hahn theorem; 0-1 sequences},
language = {eng},
number = {1},
pages = {87-98},
title = {Sequences of 0's and 1's: sequence spaces with the separable Hahn property},
url = {http://eudml.org/doc/285323},
volume = {182},
year = {2007},
}

TY - JOUR
AU - Maria Zeltser
TI - Sequences of 0's and 1's: sequence spaces with the separable Hahn property
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 1
SP - 87
EP - 98
AB - In [3] it was discovered that one of the main results in [1] (Theorem 5.2), applied to three spaces, contains a nontrivial gap in the argument, but neither the gap was closed nor a counterexample was provided. In [4] the authors verified that all three above mentioned applications of the theorem are true and stated a problem concerning the topological structure of one of these three spaces. In this paper we answer the problem and give a counterexample to the theorem in doubt. Also we establish a new way of constructing separable Hahn spaces.
LA - eng
KW - Hahn property; separable Hahn property; matrix Hahn property; inclusion theorems; Hahn theorem; 0-1 sequences
UR - http://eudml.org/doc/285323
ER -