Finiteness properties of topological algebras, I
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)
- Volume: 5, Issue: 3, page 471-488
- ISSN: 0391-173X
Access Full Article
topHow to cite
topFerreira, A. V., and Tomassini, G.. "Finiteness properties of topological algebras, I." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.3 (1978): 471-488. <http://eudml.org/doc/83786>.
@article{Ferreira1978,
author = {Ferreira, A. V., Tomassini, G.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Gel'Fand Transform; Topological Algebras; Q-Algebra; Finiteness Properties; Silov Boundary; Maximal Ideals; Structure Space; Gleason's Theorem; Barrelled Locally M-Convex Hausdorff Algebras; Complex Analytic Space; Open Mapping Property; Maximal Modulus Principle},
language = {eng},
number = {3},
pages = {471-488},
publisher = {Scuola normale superiore},
title = {Finiteness properties of topological algebras, I},
url = {http://eudml.org/doc/83786},
volume = {5},
year = {1978},
}
TY - JOUR
AU - Ferreira, A. V.
AU - Tomassini, G.
TI - Finiteness properties of topological algebras, I
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 3
SP - 471
EP - 488
LA - eng
KW - Gel'Fand Transform; Topological Algebras; Q-Algebra; Finiteness Properties; Silov Boundary; Maximal Ideals; Structure Space; Gleason's Theorem; Barrelled Locally M-Convex Hausdorff Algebras; Complex Analytic Space; Open Mapping Property; Maximal Modulus Principle
UR - http://eudml.org/doc/83786
ER -
References
top- [1] E. Bishop, Holomorphic completions, analytic continuation and interpolation of semi-norms, Ann. of Math., 78 (1963). Zbl0131.30901MR155016
- [2] E. Bishop, A minimal boundary for function algebras, Pac. J. of Math., 9 (1959). Zbl0087.28503MR109305
- [3] O. Foster, Uniqueness of topology in Stein algebras, Coll. « Function Algebras » U.S.A. (1966). Zbl0151.09701
- [4] 1. Gelfand I.- D. Raikov - G. Shilov, Commutative normed rings, Chelsea Publ. Company. Zbl0134.32102MR205105
- [5] I. Glicksberg, Maximal algebras and a theorem of Radò, Pac. J. of Math., 14 (1964). Zbl0144.37503MR169082
- [6] H. Grauert - R. Remmert, Analytische Stellenalgebren, Springer-Verlag, Berlin (1971). Zbl0231.32001MR316742
- [7] A. Grothendzeck, Produits tensoriels topologiques et espaces nucléaires, Providence Ann. Math., 196 (Mem. Ann. Math. Soc.). Zbl0123.30301MR367266
- [8] K. Langmann, Ein Funktionalanalytischer Beweis der Hilbertscher Nullstellensatz, Math. Ann., 192 (1972). Zbl0203.44503MR305069
- [9] A. Martineau, Sur les théorèmes de S. Banach et de L. Schwartz concernant le graphe fermé, Studia Math., 30 (1968). Zbl0177.41001MR231181
- [10] E.A. Michael, Locally multiplicatively -convex topological algebras, Mem. Ann. Math. Soc. (1952). Zbl0047.35502MR51444
- [11] H. Rossi, Attaching Analytic Spaces to an Analytic Space, Proc. of the Conf. on Compl. Anal. Minneapolis (1964). Zbl0143.30301
- [12] J. Sebastião E Silva, Su certe classi di spazi localmente convessi importanti per le applicazioni, Rend. Mat. serie V, vol. XIV. Zbl0064.35801
- [13] G. Tomassini, Sulla topologia dello spettro di un'algebra di Banach, Ann. Scuola Norm. Sup. Pisa, 23 (1969). Zbl0182.17702MR264112
- [14] G. Tomassini, Invituppo d'olomorfia e spazi pseudo-concavi, Ann. Mat. Pura e Appl., serie IV, 87 (1970). MR298050
- [15] L. Waelbroek, Etude spectrale des algèbres complètes, Mém. Acad. Royale de Belgique, 31, fasc. 7 (1960). Zbl0193.10005MR117578
- [16] A. Gleason, Finitely generated ideals in Banach algebras, Journ. Math. Mech., 13 (1964). Zbl0117.34105MR159241
Citations in EuDML Documents
top- Edoardo Ballico, Arturo V. Ferreira, A structural property of prime ideals in a topological noetherian algebra with an application to complex analysis
- Graciela Carboni, Angel Larotonda, An example of a Fréchet algebra which is a principal ideal domain
- W. Żelazko, A characterization of commutative Fréchet algebras with all ideals closed
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.