Abstract:
We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.
Registro:
| Documento: |
Artículo
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| Título: | An example of a Fréchet algebra which is a principal ideal domain |
| Autor: | Carboni, G.; Larotonda, A. |
| Filiación: | Departamento de Matemática, Facultad de Cs. Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
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| Palabras clave: | Fréchet algebra; Principal ideal domain; Quasi-analytic class |
| Año: | 2000
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| Volumen: | 138
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| Número: | 3
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| Página de inicio: | 265
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| Página de fin: | 275
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| Título revista: | Studia Mathematica
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| Título revista abreviado: | Stud. Math.
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| ISSN: | 00393223
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| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v138_n3_p265_Carboni |
Referencias:
- Arens, R., Dense inverse limit rings (1958) Michigan Math. J., 5, pp. 169-182
- Linear topological division algebras (1947) Bull. Amer. Math. Soc., 53, pp. 623-630
- Arizmendi, H., On the spectral radius of a matrix algebra (1990) Funct. Approx. Comment. Math., 19, pp. 167-176
- Bouloussa, S., Caractérisation des algèbres de Fréchet qui sont des anneaux de valuation (1982) J. London Math. Soc., 25 (2), pp. 355-364
- Dales, H.G., Automatic continuity: A survey (1978) Bull. London Math. Soc., 10, pp. 129-183
- Ferreira, A., Tomassini, G., Finiteness properties of topological algebras (1978) Ann. Scuola Norm. Sup. Pisa, 3, pp. 471-488
- Katznelson, Y., (1968) An Introduction to Harmonic Analysis, , Wiley
- Komatsu, H., Projective and injective limits of weakly compact sequences of locally convex spaces (1967) J. Math. Soc. Japan, 19, pp. 366-383
- Roberts, W., Vanberg, D., (1973) Convex Functions, , Academic Press, New York
- Rudin, W., (1964) Real and Complex Analysis, , McGraw-Hill
- Sinclair, A., Tullo, A., Noetherian banach algebras are finite dimensional (1974) Math. Ann., 211, pp. 151-153
- Tomassini, G., On some finiteness properties of topological algebras (1973) Symposia Math., 11, pp. 305-311
- Zelazko, W., A theorem on B0 division algebras (1960) Bull. Acad. Polon. Sci., 8, pp. 373-375
- Zygmund, A., (1977) Trigonometric Series, , Cambridge Univ. Press
Citas:
---------- APA ----------
Carboni, G. & Larotonda, A.
(2000)
. An example of a Fréchet algebra which is a principal ideal domain. Studia Mathematica, 138(3), 265-275.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v138_n3_p265_Carboni [ ]
---------- CHICAGO ----------
Carboni, G., Larotonda, A.
"An example of a Fréchet algebra which is a principal ideal domain"
. Studia Mathematica 138, no. 3
(2000) : 265-275.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v138_n3_p265_Carboni [ ]
---------- MLA ----------
Carboni, G., Larotonda, A.
"An example of a Fréchet algebra which is a principal ideal domain"
. Studia Mathematica, vol. 138, no. 3, 2000, pp. 265-275.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v138_n3_p265_Carboni [ ]
---------- VANCOUVER ----------
Carboni, G., Larotonda, A. An example of a Fréchet algebra which is a principal ideal domain. Stud. Math. 2000;138(3):265-275.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v138_n3_p265_Carboni [ ]
