Frechet m-convex principal ideal domains

• Autorzy: Carboni G. , Larotonda A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Frechet m-convex algebras; principal ideal domains; algebras of analytic germs

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2002
• Tom: [Z] 42(2)
• Strony: 199--208
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Carboni G.

• Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1 - Ciudad Universitaria (1428) Buenos Aires, Argentina

autor

Larotonda A.

• 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).