A Natural Class of Sequential Banach Spaces

Jarno Talponen. "A Natural Class of Sequential Banach Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 59.2 (2011): 185-196. <http://eudml.org/doc/281133>.

@article{JarnoTalponen2011,
abstract = {We introduce and study a natural class of variable exponent $ℓ^\{p\}$ spaces, which generalizes the classical spaces $ℓ^\{p\}$ and c₀. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. Some geometric examples are constructed by using these spaces.},
author = {Jarno Talponen},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Variable exponent sequential space; Universal space; 1-unconditional basis},
language = {eng},
number = {2},
pages = {185-196},
title = {A Natural Class of Sequential Banach Spaces},
url = {http://eudml.org/doc/281133},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Jarno Talponen
TI - A Natural Class of Sequential Banach Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 2
SP - 185
EP - 196
AB - We introduce and study a natural class of variable exponent $ℓ^{p}$ spaces, which generalizes the classical spaces $ℓ^{p}$ and c₀. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. Some geometric examples are constructed by using these spaces.
LA - eng
KW - Variable exponent sequential space; Universal space; 1-unconditional basis
UR - http://eudml.org/doc/281133
ER -