Artículo
Larotonda, A.; Zalduendo, I. "Homogeneous spectral sets and local-global methods in Banach algebras" (1988) Pacific Journal of Mathematics. 134(1):133-150
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Abstract:
The search for topological characterization of algebraic properties of commutative Banach algebras has often led to the calculation of cohomology groups of its spectrum. In the present paper, a tool is developed which permits the application of sheaf cohomological methods to such problems by lifting sequences of complex analytic manifolds to sequences of spectral sets and cohomology groups. © 1988 by Pacific Journal of Mathematics.
Registro:
| Documento: | Artículo |
| Título: | Homogeneous spectral sets and local-global methods in Banach algebras |
| Autor: | Larotonda, A.; Zalduendo, I. |
| Filiación: | Universidad De Buenos Aires, Capital Federal, 1428, Argentina UCLA, Los Angeles, CA, 90024, United States |
| Año: | 1988 |
| Volumen: | 134 |
| Número: | 1 |
| Página de inicio: | 133 |
| Página de fin: | 150 |
| DOI: | http://dx.doi.org/10.2140/pjm.1988.134.133 |
| Título revista: | Pacific Journal of Mathematics |
| Título revista abreviado: | Pac. J. Math. |
| ISSN: | 00308730 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v134_n1_p133_Larotonda |
Referencias:
- Allan, G.R., A form of local characterization of Gelfand transforms (1968) J. London Math. Soc., 43, pp. 623-625
- Bass, H., (1967) Lectures on topics in algebraic K-theory, , Tata Institute, Bombay
- Craw, I.G., A condition equivalent to the continuity of characters on a Frechet algebra (1971) Proc. London Math. Soc., 22 (3), pp. 425-464
- Forster, O., Ramspott, K., Okasche Paare von Garben nicht-abelscher Gruppen (1966) Inventiones Math., 1, pp. 260-286
- Glickfeld, B.W., The Riemann sphere of a commutative Banach algebra (1968) Trans. Amer. Math. Soc., 134, pp. 1-28
- Larotonda, A., Zalduendo, I., Spectral sets as Banach manifolds (1985) Pacific J. Math., 120 (2), pp. 401-416
- Larotonda, A., Zalduendo, I., The holomorphic functional calculus (1984) Rev. de la Un. Mat. Arg., 31, pp. 139-148
- Novodvorskii, E., Certain homotopical invariants of spaces of maximal ideals (1967) Mat. Z., 1, pp. 487-494
- Raeburn, I., The relationship between a commutative Banach algebra and its maximal ideal space (1977) J. Funct. Analysis, 25, pp. 366-390
- Taylor, J.L., Topological invariants of the maximal ideal space of a Banach algebra (1976) Adv. in Math., 19, pp. 149-206
- Waelbroeck, L., (1971) Topological vector spaces and algebras, , Lecture Notes in Mathematics № 230, Springer, New York
Citas:
---------- APA ----------
Larotonda, A. & Zalduendo, I. (1988) . Homogeneous spectral sets and local-global methods in Banach algebras. Pacific Journal of Mathematics, 134(1), 133-150.http://dx.doi.org/10.2140/pjm.1988.134.133
---------- CHICAGO ----------
Larotonda, A., Zalduendo, I. "Homogeneous spectral sets and local-global methods in Banach algebras" . Pacific Journal of Mathematics 134, no. 1 (1988) : 133-150.http://dx.doi.org/10.2140/pjm.1988.134.133
---------- MLA ----------
Larotonda, A., Zalduendo, I. "Homogeneous spectral sets and local-global methods in Banach algebras" . Pacific Journal of Mathematics, vol. 134, no. 1, 1988, pp. 133-150.http://dx.doi.org/10.2140/pjm.1988.134.133
---------- VANCOUVER ----------
Larotonda, A., Zalduendo, I. Homogeneous spectral sets and local-global methods in Banach algebras. Pac. J. Math. 1988;134(1):133-150.http://dx.doi.org/10.2140/pjm.1988.134.133
