Structure m-convexe d’une algèbre limite inductive localement convexe d’algèbres de Banach
Rendiconti del Seminario Matematico della Università di Padova, Volume 95 (1996), p. 107-126
@article{RSMUP_1996__95__107_0,
     author = {Akkar, M. and Nacir, C.},
     title = {Structure $m$-convexe d'une alg\`ebre limite inductive localement convexe d'alg\`ebres de Banach},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {95},
     year = {1996},
     pages = {107-126},
     zbl = {0866.46028},
     mrnumber = {1405358},
     language = {fr},
     url = {http://www.numdam.org/item/RSMUP_1996__95__107_0}
}
Akkar, M.; Nacir, C. Structure $m$-convexe d’une algèbre limite inductive localement convexe d’algèbres de Banach. Rendiconti del Seminario Matematico della Università di Padova, Volume 95 (1996) pp. 107-126. http://www.numdam.org/item/RSMUP_1996__95__107_0/

[1] M. Akkar, Etude spectrale et structure d'algèbres topologiques et bornologiques complètes, Thèse Sc. Math. Université de Bordeaux 1 (1976).

[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. | MR 320754 | Zbl 0241.46050

[3] G.R. Allan, A spectral theory for locally convex algebras, Proc. London Math. Soc. (3), 15 (1965), pp. 399-421. | MR 176344 | Zbl 0138.38202

[4] G.R. Allan - H.G. Dales - J.P. Mclure, Pseudo-Banach algebras, Studia Math., 40 (1971), pp. 55-69. | MR 333737 | Zbl 0224.46052

[5] A. Arosio, Locally convex inductive limits of normed algebras, Rend. Sem. Mat. Univ. Padova, 51 (1974), pp. 333-359. | Numdam | MR 377515 | Zbl 0301.46037

[6] N. Bourbaki, Espaces vectoriels topologiques, chapitres I à V, Edition Masson (1981). | MR 633754 | Zbl 0482.46001

[7] J. Dieudonné - L. SCHWARTZ, La dualité dans les espaces (F) et (LF), Ann. Inst. Fourier, 1 (1950), pp. 61-101. | Numdam | MR 38553 | Zbl 0035.35501

[8] J. Esterle, Sur la non métrisabilité de certaines algèbres d'opérateurs, Rev. Roumaine Math. Pures Appl., 24, no. 8 (1979), pp. 1157-1164. | MR 551965 | Zbl 0447.46041

[9] A. Grothendieck, Espaces vectoriels topologiques, 3a Edicao Sociedate de Mathematica de S. Paulo (1964). | MR 77884 | Zbl 0058.33401

[10] H. Hogbe-N'LEND, Les fondements de la théorie spectrale des algèbres bornologiques, Bol. Soc. Brasi. Mat., 3 (1972), pp. 19-56. | MR 328596 | Zbl 0338.46042

[11] H. Hogbe-N'Lend, Les fondements de la bornologie moderne I, Départ. Math. Université de Bordeaux 1 (1970).

[12] G. Köthe, Topological Vector Spaces, Springer-Verlag, tome 1 (1969). | Zbl 0179.17001

[13] E.A. Michael, Locally muttiplicatively convex topological algebras, Mem. Amer. Math. Soc., no. 11, Providence (1952). | MR 51444 | Zbl 0047.35502

[14] M. Oudadess, Inductive limits of normed algebras and m-convex structures, Proc. Amer. Math. Soc., 109, no. 2 (1990). | MR 1000166 | Zbl 0701.46036

[15] M. Raouyane, Algèbres pseudo-Banach normalisées, Bull. Soc. Math. Belg., 38, no. 1 (1986), pp. 39-46. | MR 871302 | Zbl 0655.46041

[16] L. Waelbroeck, Topological vector spaces and algebras, Lecture Notes in Mathematics, 230, Spinger-verlag (1971). | MR 467234 | Zbl 0225.46001

[17] S. Warner, Inductive limits of normed algebras, Trans. Amer. Math. Soc., 82 (1956), pp. 190-216. | MR 79226 | Zbl 0070.34101

[18] W. Zelazko, Selected topics in topological algebras, Lectures Notes, Serie no. 31 sep. 1971, Mathematisk Institut, Aarhus Universited, Aarhus. | MR 448080 | Zbl 0221.46041

[19] W. Zelazko, Banach Algebras, Elsevier Publishing Company (1973). | MR 448079 | Zbl 0248.46037