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Abstrakty
The aim of this paper is to construct examples of Frechet m-convex principal ideal domain algebras with maximal ideal space isomorphic to K, where K is an arbitrary perfect compact subset of C which is connected by rectifiable arcs.
Wydawca
Rocznik
Tom
Strony
199--208
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1 - Ciudad Universitaria (1428) Buenos Aires, Argentina
autor
- Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1 - Ciudad Universitaria (1428) Buenos Aires, Argentina
Bibliografia
- [1] W. Bade and H. Dales, Norms and ideals in radical convolution algebras, Jour. Funct. Anal., 41 (1981), 77-109.
- [2] G. Carboni and A. Larotonda, An example of a Frechet algebra which is a principal ideal domain, Studia Mathematica 138 (2000), 265-275.
- [3] H. G. Dales, Automatic continuity: a survey, Bull. London Math. Soc, 10 (1978), 129-183.
- [4] H. G. Dales and A. Davie, Quasianalytic Banach function algebars, Jour. Fuct. Anal. 13 (1973), 28-50.
- [5] A. Ferrerira and G. Tomassini, Finiteness properties of topological algebras I, Annali della Scuola Normale Superiore di Pisa V (1978), 471-488.
- [6] A. Kriegl and P. Michor, The Convenient Setting of Global Analysis, AMS Math Surveys 53 (1997), Ch. III.
- [7] E. Michael, Locally multiplicatively-convex topological algebras, Memoirs of the American Mathematical Society 11 (1952), 1-79.
- [8] A. Wilanski, Topics in Functional Analysis, Springer, Lectures Notes in Math 45, (1967).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0002-0056