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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| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00308730_v120_n2_p401_Larotonda |
| Aporte de: |
| Sumario: | 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. |
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