The universal Banach space with a K -suppression unconditional basis

Taras O. Banakh; Joanna Garbulińska-Wegrzyn

Commentationes Mathematicae Universitatis Carolinae (2018)

  • Volume: 59, Issue: 2, page 195-206
  • ISSN: 0010-2628

Abstract

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Using the technique of Fraïssé theory, for every constant K ≥ 1 , we construct a universal object 𝕌 K in the class of Banach spaces possessing a normalized K -suppression unconditional Schauder basis.

How to cite

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Banakh, Taras O., and Garbulińska-Wegrzyn, Joanna. "The universal Banach space with a $K$-suppression unconditional basis." Commentationes Mathematicae Universitatis Carolinae 59.2 (2018): 195-206. <http://eudml.org/doc/294783>.

@article{Banakh2018,
abstract = {Using the technique of Fraïssé theory, for every constant $K\ge 1$, we construct a universal object $\mathbb \{U\}_K$ in the class of Banach spaces possessing a normalized $K$-suppression unconditional Schauder basis.},
author = {Banakh, Taras O., Garbulińska-Wegrzyn, Joanna},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$1$-suppression unconditional Schauder basis; rational spaces; isometry},
language = {eng},
number = {2},
pages = {195-206},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The universal Banach space with a $K$-suppression unconditional basis},
url = {http://eudml.org/doc/294783},
volume = {59},
year = {2018},
}

TY - JOUR
AU - Banakh, Taras O.
AU - Garbulińska-Wegrzyn, Joanna
TI - The universal Banach space with a $K$-suppression unconditional basis
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 2
SP - 195
EP - 206
AB - Using the technique of Fraïssé theory, for every constant $K\ge 1$, we construct a universal object $\mathbb {U}_K$ in the class of Banach spaces possessing a normalized $K$-suppression unconditional Schauder basis.
LA - eng
KW - $1$-suppression unconditional Schauder basis; rational spaces; isometry
UR - http://eudml.org/doc/294783
ER -

References

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  11. Pełczyński A., 10.4064/sm-32-3-247-268, Studia Math. 32 (1969), 247–268. MR0241954DOI10.4064/sm-32-3-247-268
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