Embedding a topological group into its WAP-compactification

Stefano Ferri, and Jorge Galindo. "Embedding a topological group into its WAP-compactification." Studia Mathematica 193.2 (2009): 99-108. <http://eudml.org/doc/284630>.

@article{StefanoFerri2009,
abstract = {We prove that the topology of the additive group of the Banach space c₀ is not induced by weakly almost periodic functions or, what is the same, that this group cannot be represented as a group of isometries of a reflexive Banach space. We show, in contrast, that additive groups of Schwartz locally convex spaces are always representable as groups of isometries on some reflexive Banach space.},
author = {Stefano Ferri, Jorge Galindo},
journal = {Studia Mathematica},
keywords = {additive group; reflexively representable group},
language = {eng},
number = {2},
pages = {99-108},
title = {Embedding a topological group into its WAP-compactification},
url = {http://eudml.org/doc/284630},
volume = {193},
year = {2009},
}

TY - JOUR
AU - Stefano Ferri
AU - Jorge Galindo
TI - Embedding a topological group into its WAP-compactification
JO - Studia Mathematica
PY - 2009
VL - 193
IS - 2
SP - 99
EP - 108
AB - We prove that the topology of the additive group of the Banach space c₀ is not induced by weakly almost periodic functions or, what is the same, that this group cannot be represented as a group of isometries of a reflexive Banach space. We show, in contrast, that additive groups of Schwartz locally convex spaces are always representable as groups of isometries on some reflexive Banach space.
LA - eng
KW - additive group; reflexively representable group
UR - http://eudml.org/doc/284630
ER -