Structure m -convexe d’une algèbre limite inductive localement convexe d’algèbres de Banach

M. Akkar; C. Nacir

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 95, page 107-126
  • ISSN: 0041-8994

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Akkar, M., and Nacir, C.. "Structure $m$-convexe d’une algèbre limite inductive localement convexe d’algèbres de Banach." Rendiconti del Seminario Matematico della Università di Padova 95 (1996): 107-126. <http://eudml.org/doc/108384>.

@article{Akkar1996,
author = {Akkar, M., Nacir, C.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {locally convex inductive limit of a sequence of Banach algebras; locally multiplicatively convex algebra},
language = {fre},
pages = {107-126},
publisher = {Seminario Matematico of the University of Padua},
title = {Structure $m$-convexe d’une algèbre limite inductive localement convexe d’algèbres de Banach},
url = {http://eudml.org/doc/108384},
volume = {95},
year = {1996},
}

TY - JOUR
AU - Akkar, M.
AU - Nacir, C.
TI - Structure $m$-convexe d’une algèbre limite inductive localement convexe d’algèbres de Banach
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 95
SP - 107
EP - 126
LA - fre
KW - locally convex inductive limit of a sequence of Banach algebras; locally multiplicatively convex algebra
UR - http://eudml.org/doc/108384
ER -

References

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  1. [1] M. Akkar, Etude spectrale et structure d'algèbres topologiques et bornologiques complètes, Thèse Sc. Math. Université de Bordeaux1 (1976). 
  2. [2] M. Akkar, Sur la théorie spectrale des opérateurs fortement bornés dans les espaces vectoriels topologiques, C. R. Acad. Sc. Paris, Série A, 274 (1972), pp. 1805-1808. Zbl0241.46050MR320754
  3. [3] G.R. Allan, A spectral theory for locally convex algebras, Proc. London Math. Soc. (3), 15 (1965), pp. 399-421. Zbl0138.38202MR176344
  4. [4] G.R. Allan - H.G. Dales - J.P. McLure, Pseudo-Banach algebras, Studia Math., 40 (1971), pp. 55-69. Zbl0224.46052MR333737
  5. [5] A. Arosio, Locally convex inductive limits of normed algebras, Rend. Sem. Mat. Univ. Padova, 51 (1974), pp. 333-359. Zbl0301.46037MR377515
  6. [6] N. Bourbaki, Espaces vectoriels topologiques, chapitres I à V, Edition Masson (1981). Zbl0482.46001MR633754
  7. [7] J. Dieudonné - L. SCHWARTZ, La dualité dans les espaces (F) et (LF), Ann. Inst. Fourier, 1 (1950), pp. 61-101. Zbl0035.35501MR38553
  8. [8] J. Esterle, Sur la non métrisabilité de certaines algèbres d'opérateurs, Rev. Roumaine Math. Pures Appl., 24, no. 8 (1979), pp. 1157-1164. Zbl0447.46041MR551965
  9. [9] A. Grothendieck, Espaces vectoriels topologiques, 3a Edicao Sociedate deMathematica de S. Paulo (1964). Zbl0058.33401MR77884
  10. [10] H. Hogbe-N'LEND, Les fondements de la théorie spectrale des algèbres bornologiques, Bol. Soc. Brasi. Mat., 3 (1972), pp. 19-56. Zbl0338.46042MR328596
  11. [11] H. Hogbe-N'lend, Les fondements de la bornologie moderne I, Départ. Math. Université de Bordeaux1 (1970). 
  12. [12] G. Köthe, Topological Vector Spaces, Springer-Verlag, tome 1 (1969). Zbl0179.17001
  13. [13] E.A. Michael, Locally muttiplicatively convex topological algebras, Mem. Amer. Math. Soc., no. 11, Providence (1952). Zbl0047.35502MR51444
  14. [14] M. Oudadess, Inductive limits of normed algebras and m-convex structures, Proc. Amer. Math. Soc., 109, no. 2 (1990). Zbl0701.46036MR1000166
  15. [15] M. Raouyane, Algèbres pseudo-Banach normalisées, Bull. Soc. Math. Belg., 38, no. 1 (1986), pp. 39-46. Zbl0655.46041MR871302
  16. [16] L. Waelbroeck, Topological vector spaces and algebras, Lecture Notes in Mathematics, 230, Spinger-verlag (1971). Zbl0225.46001MR467234
  17. [17] S. Warner, Inductive limits of normed algebras, Trans. Amer. Math. Soc., 82 (1956), pp. 190-216. Zbl0070.34101MR79226
  18. [18] W. Zelazko, Selected topics in topological algebras, Lectures Notes, Serie no. 31 sep. 1971, Mathematisk Institut, Aarhus Universited, Aarhus. Zbl0221.46041MR448080
  19. [19] W. Zelazko, Banach Algebras, Elsevier Publishing Company (1973). Zbl0248.46037MR448079

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