# Some aspects of the modern theory of Fréchet spaces.

Klaus D. Bierstedt; José Bonet

RACSAM (2003)

- Volume: 97, Issue: 2, page 159-188
- ISSN: 1578-7303

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topBierstedt, Klaus D., and Bonet, José. "Some aspects of the modern theory of Fréchet spaces.." RACSAM 97.2 (2003): 159-188. <http://eudml.org/doc/40968>.

@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 -