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Abstract:

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.

Registro:

Documento: Artículo
Título:Spectral sets as Banach manifolds
Autor:Larotonda, A.; Zalduendo, I.
Filiación:Universidad de Buenos Aires, Pabellon I, Ciudad Universitaria, Capital Federal, 1428, Argentina
Año:1985
Volumen:120
Número:2
Página de inicio:401
Página de fin:416
DOI: http://dx.doi.org/10.2140/pjm.1985.120.401
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_v120_n2_p401_Larotonda

Referencias:

  • Arens, R., Calderón, A.P., Analytic functions of several Banach algebra elements (1955) Ann. of Math., (2), 62, pp. 204-216
  • Craw, I., A condition equivalent to the continuity of characters on a Fréchet algebra (1971) Proc. London Math. Soc., 22, pp. 452-464
  • Gunning, R.C., Rossi, H., (1965) Analytic Functions of Several Complex Variables, , Prentice Hall, Englewood Cliffs, N.J
  • Larotonda, A., (1980) Notas sobre variedades diferenciabas, , INMABB-CONICET, Bahía Blanca
  • Novodvorskii, E., Certain homotopical invariants of spaces of maximal ideals (1967) Mat. Zametki, 1, pp. 487-494
  • Raeburn, I., The relationship between a commutative Banach algebra and its maximal ideal space (1977) J. Functional Anal., 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
  • Taylor, J.L., Twisted Products of Banach Algebras and Third Čech Cohomology (1977) Springer Lecture Notes in Math., 575, pp. 157-174

Citas:

---------- APA ----------
Larotonda, A. & Zalduendo, I. (1985) . Spectral sets as Banach manifolds. Pacific Journal of Mathematics, 120(2), 401-416.
http://dx.doi.org/10.2140/pjm.1985.120.401
---------- CHICAGO ----------
Larotonda, A., Zalduendo, I. "Spectral sets as Banach manifolds" . Pacific Journal of Mathematics 120, no. 2 (1985) : 401-416.
http://dx.doi.org/10.2140/pjm.1985.120.401
---------- MLA ----------
Larotonda, A., Zalduendo, I. "Spectral sets as Banach manifolds" . Pacific Journal of Mathematics, vol. 120, no. 2, 1985, pp. 401-416.
http://dx.doi.org/10.2140/pjm.1985.120.401
---------- VANCOUVER ----------
Larotonda, A., Zalduendo, I. Spectral sets as Banach manifolds. Pac. J. Math. 1985;120(2):401-416.
http://dx.doi.org/10.2140/pjm.1985.120.401