Biorthogonal systems in Banach spaces

Michael A. Coco. "Biorthogonal systems in Banach spaces." Studia Mathematica 165.1 (2004): 81-100. <http://eudml.org/doc/285282>.

@article{MichaelA2004,
abstract = {We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c₀, or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite-dimensional Banach space has one of three types of biorthogonal systems.},
author = {Michael A. Coco},
journal = {Studia Mathematica},
keywords = {biorthogonal system; Dunford-Pettis property; Banach space},
language = {eng},
number = {1},
pages = {81-100},
title = {Biorthogonal systems in Banach spaces},
url = {http://eudml.org/doc/285282},
volume = {165},
year = {2004},
}

TY - JOUR
AU - Michael A. Coco
TI - Biorthogonal systems in Banach spaces
JO - Studia Mathematica
PY - 2004
VL - 165
IS - 1
SP - 81
EP - 100
AB - We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c₀, or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite-dimensional Banach space has one of three types of biorthogonal systems.
LA - eng
KW - biorthogonal system; Dunford-Pettis property; Banach space
UR - http://eudml.org/doc/285282
ER -