ℱ-bases with brackets and with individual brackets in Banach spaces

Tomasz Kochanek. "ℱ-bases with brackets and with individual brackets in Banach spaces." Studia Mathematica 211.3 (2012): 259-268. <http://eudml.org/doc/286563>.

@article{TomaszKochanek2012,
abstract = {We provide a partial answer to the question of Vladimir Kadets whether given an ℱ-basis of a Banach space X, with respect to some filter ℱ ⊂ 𝒫(ℕ), the coordinate functionals are continuous. The answer is positive if the character of ℱ is less than 𝔭. In this case every ℱ-basis is an M-basis with brackets which are determined by an element of ℱ.},
author = {Tomasz Kochanek},
journal = {Studia Mathematica},
keywords = {Schauder basis; pseudointersection number; Baire category theorem; Martin's axiom; bracket},
language = {eng},
number = {3},
pages = {259-268},
title = {ℱ-bases with brackets and with individual brackets in Banach spaces},
url = {http://eudml.org/doc/286563},
volume = {211},
year = {2012},
}

TY - JOUR
AU - Tomasz Kochanek
TI - ℱ-bases with brackets and with individual brackets in Banach spaces
JO - Studia Mathematica
PY - 2012
VL - 211
IS - 3
SP - 259
EP - 268
AB - We provide a partial answer to the question of Vladimir Kadets whether given an ℱ-basis of a Banach space X, with respect to some filter ℱ ⊂ 𝒫(ℕ), the coordinate functionals are continuous. The answer is positive if the character of ℱ is less than 𝔭. In this case every ℱ-basis is an M-basis with brackets which are determined by an element of ℱ.
LA - eng
KW - Schauder basis; pseudointersection number; Baire category theorem; Martin's axiom; bracket
UR - http://eudml.org/doc/286563
ER -