Homogeneous spectral sets and local-global methods in Banach algebras
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...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00308730_v134_n1_p133_Larotonda |
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todo:paper_00308730_v134_n1_p133_Larotonda2023-10-03T14:40:45Z Homogeneous spectral sets and local-global methods in Banach algebras Larotonda, A. Zalduendo, I. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00308730_v134_n1_p133_Larotonda |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Larotonda, A. Zalduendo, I. |
| spellingShingle |
Larotonda, A. Zalduendo, I. Homogeneous spectral sets and local-global methods in Banach algebras |
| author_facet |
Larotonda, A. Zalduendo, I. |
| author_sort |
Larotonda, A. |
| title |
Homogeneous spectral sets and local-global methods in Banach algebras |
| title_short |
Homogeneous spectral sets and local-global methods in Banach algebras |
| title_full |
Homogeneous spectral sets and local-global methods in Banach algebras |
| title_fullStr |
Homogeneous spectral sets and local-global methods in Banach algebras |
| title_full_unstemmed |
Homogeneous spectral sets and local-global methods in Banach algebras |
| title_sort |
homogeneous spectral sets and local-global methods in banach algebras |
| url |
http://hdl.handle.net/20.500.12110/paper_00308730_v134_n1_p133_Larotonda |
| work_keys_str_mv |
AT larotondaa homogeneousspectralsetsandlocalglobalmethodsinbanachalgebras AT zalduendoi homogeneousspectralsetsandlocalglobalmethodsinbanachalgebras |
| _version_ |
1807318385675993088 |