Some aspects of the modern theory of Fréchet spaces.

@article{Bierstedt2003,
abstract = {We survey some recent developments in the theory of Fréchet spaces and of their duals. Among other things, Section 4 contains new, direct proofs of properties of, and results on, Fréchet spaces with the density condition, and Section 5 gives an account of the modern theory of general Köthe echelon and co-echelon spaces. The final section is devoted to the developments in tensor products of Fréchet spaces since the negative solution of Grothendieck?s ?problème des topologies?.},
author = {Bierstedt, Klaus D., Bonet, José},
journal = {RACSAM},
keywords = {Espacios lineales topológicos; Espacios localmente convexos; Espacios de Fréchet; Espacios DF; Fréchet- and (DF)-spaces; distinguished and quasinormable spaces; density condition; nuclear spaces; survey; bibliography},
language = {eng},
number = {2},
pages = {159-188},
title = {Some aspects of the modern theory of Fréchet spaces.},
url = {http://eudml.org/doc/40968},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Bierstedt, Klaus D.
AU - Bonet, José
TI - Some aspects of the modern theory of Fréchet spaces.
JO - RACSAM
PY - 2003
VL - 97
IS - 2
SP - 159
EP - 188
AB - We survey some recent developments in the theory of Fréchet spaces and of their duals. Among other things, Section 4 contains new, direct proofs of properties of, and results on, Fréchet spaces with the density condition, and Section 5 gives an account of the modern theory of general Köthe echelon and co-echelon spaces. The final section is devoted to the developments in tensor products of Fréchet spaces since the negative solution of Grothendieck?s ?problème des topologies?.
LA - eng
KW - Espacios lineales topológicos; Espacios localmente convexos; Espacios de Fréchet; Espacios DF; Fréchet- and (DF)-spaces; distinguished and quasinormable spaces; density condition; nuclear spaces; survey; bibliography
UR - http://eudml.org/doc/40968
ER -