On the representation of uncountable symmetric basic sets and its applications
Francisco Hernandez; Stanimir Troyanski
Studia Mathematica (1993)
- Volume: 107, Issue: 3, page 287-304
- ISSN: 0039-3223
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topHernandez, Francisco, and Troyanski, Stanimir. "On the representation of uncountable symmetric basic sets and its applications." Studia Mathematica 107.3 (1993): 287-304. <http://eudml.org/doc/216034>.
@article{Hernandez1993,
abstract = {It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.},
author = {Hernandez, Francisco, Troyanski, Stanimir},
journal = {Studia Mathematica},
keywords = {symmetric basis; Orlicz sequence spaces; Lorentz sequence spaces; uncountable symmetric basic set in an -space with a symmetric basis},
language = {eng},
number = {3},
pages = {287-304},
title = {On the representation of uncountable symmetric basic sets and its applications},
url = {http://eudml.org/doc/216034},
volume = {107},
year = {1993},
}
TY - JOUR
AU - Hernandez, Francisco
AU - Troyanski, Stanimir
TI - On the representation of uncountable symmetric basic sets and its applications
JO - Studia Mathematica
PY - 1993
VL - 107
IS - 3
SP - 287
EP - 304
AB - It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.
LA - eng
KW - symmetric basis; Orlicz sequence spaces; Lorentz sequence spaces; uncountable symmetric basic set in an -space with a symmetric basis
UR - http://eudml.org/doc/216034
ER -
References
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