Spectral sets as Banach manifolds
Let A be a commutative Banach algebra, X its spectrum, and M a closed analytic submanifold of an open set in Cn. We may consider the set of germs of holomorphic functions from X to M, O(X, M). Now let v be the functional calculus homomorphism from O(X, Cn) to An, and AM = v(O(X, M)). It is proven th...
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todo:paper_00308730_v120_n2_p401_Larotonda2023-10-03T14:40:44Z Spectral sets as Banach manifolds Larotonda, A. Zalduendo, I. Let A be a commutative Banach algebra, X its spectrum, and M a closed analytic submanifold of an open set in Cn. We may consider the set of germs of holomorphic functions from X to M, O(X, M). Now let v be the functional calculus homomorphism from O(X, Cn) to An, and AM = v(O(X, M)). It is proven that AM is an analytic submanifold of An, modeled on protective A-modules of rank = dim M. © 1985 by Pacific Journal of Mathematics. Fil:Larotonda, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Zalduendo, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00308730_v120_n2_p401_Larotonda |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Let A be a commutative Banach algebra, X its spectrum, and M a closed analytic submanifold of an open set in Cn. We may consider the set of germs of holomorphic functions from X to M, O(X, M). Now let v be the functional calculus homomorphism from O(X, Cn) to An, and AM = v(O(X, M)). It is proven that AM is an analytic submanifold of An, modeled on protective A-modules of rank = dim M. © 1985 by Pacific Journal of Mathematics. |
| format |
JOUR |
| author |
Larotonda, A. Zalduendo, I. |
| spellingShingle |
Larotonda, A. Zalduendo, I. Spectral sets as Banach manifolds |
| author_facet |
Larotonda, A. Zalduendo, I. |
| author_sort |
Larotonda, A. |
| title |
Spectral sets as Banach manifolds |
| title_short |
Spectral sets as Banach manifolds |
| title_full |
Spectral sets as Banach manifolds |
| title_fullStr |
Spectral sets as Banach manifolds |
| title_full_unstemmed |
Spectral sets as Banach manifolds |
| title_sort |
spectral sets as banach manifolds |
| url |
http://hdl.handle.net/20.500.12110/paper_00308730_v120_n2_p401_Larotonda |
| work_keys_str_mv |
AT larotondaa spectralsetsasbanachmanifolds AT zalduendoi spectralsetsasbanachmanifolds |
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1807324646835486720 |