Application of the Mittag-Leffler lemma in the category of quotients of Fréchet spaces

Belmesnaoui Aqzzouz

Mathematica Bohemica (2008)

  • Volume: 133, Issue: 2, page 113-119
  • ISSN: 0862-7959

Abstract

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An application of Mittag-Leffler lemma in the category of quotients of Fréchet spaces. We use Mittag-Leffler Lemma to prove that for a nonempty interval ] a , b [ , the restriction mapping H ( ] a , b [ + i ) C ] a , b [ is surjective and we give a corollary.

How to cite

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Aqzzouz, Belmesnaoui. "Une application du lemme de Mittag-Leffler dans la categorie des quotients d’espaces de Frechet." Mathematica Bohemica 133.2 (2008): 113-119. <http://eudml.org/doc/250522>.

@article{Aqzzouz2008,
author = {Aqzzouz, Belmesnaoui},
journal = {Mathematica Bohemica},
keywords = {Fréchet space; projective limit; surjective mapping; Fréchet space; projective limit; surjective mapping},
language = {fre},
number = {2},
pages = {113-119},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Une application du lemme de Mittag-Leffler dans la categorie des quotients d’espaces de Frechet},
url = {http://eudml.org/doc/250522},
volume = {133},
year = {2008},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
TI - Une application du lemme de Mittag-Leffler dans la categorie des quotients d’espaces de Frechet
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 2
SP - 113
EP - 119
LA - fre
KW - Fréchet space; projective limit; surjective mapping; Fréchet space; projective limit; surjective mapping
UR - http://eudml.org/doc/250522
ER -

References

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  1. L’exactitude du foncteur limite projective sur la catégorie des quotients d’espaces de Fréchet, (to appear). (to appear) 
  2. The projective limit functor in the category of topological linear spaces, Mat. Sb. (N.S.) 75 (1968), 567–603. (Russian) (1968) MR0223851
  3. Homological methods in the theory of locally convex spaces, Usp. Mat. Nauk 26 (1971), 3–65. (Russian) (1971) Zbl0247.46070MR0293365
  4. Quotient Fréchet spaces, Rev. Roum. Math. Pures Appl. 34 (1989), 171–179. (1989) Zbl0696.46052MR1005909
  5. Derived Functors in Functional Analysis, Lect. Notes Math. 1810, Springer, Berlin, 2003. (2003) Zbl1031.46001MR1977923

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