The Abelian category of quotients of ℒ F -spaces

Belmesnaoui Aqzzouz; R. Nouira

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 1, page 183-190
  • ISSN: 0011-4642

Abstract

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We construct the category of quotients of ℒ ℑ -spaces and we show that it is Abelian. This answers a question of L. Waelbroeck from 1990.

How to cite

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Aqzzouz, Belmesnaoui, and Nouira, R.. "La categorie Abelienne des quotients de type ${\mathcal {L}F}$." Czechoslovak Mathematical Journal 57.1 (2007): 183-190. <http://eudml.org/doc/31123>.

@article{Aqzzouz2007,
author = {Aqzzouz, Belmesnaoui, Nouira, R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {$\mathcal \{L\}\Im $-space; foncteur; catégorie abélienne; -space},
language = {fre},
number = {1},
pages = {183-190},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {La categorie Abelienne des quotients de type $\{\mathcal \{L\}F\}$},
url = {http://eudml.org/doc/31123},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Nouira, R.
TI - La categorie Abelienne des quotients de type ${\mathcal {L}F}$
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 183
EP - 190
LA - fre
KW - $\mathcal {L}\Im $-space; foncteur; catégorie abélienne; -space
UR - http://eudml.org/doc/31123
ER -

References

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  2. Produits Tensoriels Topologiques et Espaces Nucléaires. Mem. Amer. Math. Soc. No. 16, AMS, Providence, 1966. (1966) MR1609222
  3. Topological Vector Spaces and Algebras. Lect. Notes Math. Vol.  230, Springer-Verlag, Berlin-Heidelberg-New York, 1971. (1971) MR0467234
  4. Quotient Banach Spaces, Spectral theory 8, Banach Cent. Publ., Warsaw, 1982, pp. 553–562. (1982) MR0738315
  5. Holomorphic functions taking their values in a quotient bornological space. Linear operators in function spaces. Proc. 12th  Int. Conf. Oper. Theory, Timisoara, Rommania, 1988, Oper. Theory, Adv. Appl. 43 (1990), 323–335. (1990) MR1090139

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