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The holomorphic functional calculus and infinite dimensional holomorphy

Part of the Lecture Notes in Mathematics book series (LNM,volume 364)

Keywords

  • Holomorphic Function
  • Topological Vector Space
  • Direct Limit
  • Continuous Homomorphism
  • Topological Algebra

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Bibliography

  1. R. Arens and A. P. Calderń, Analytic functions of several Banach algebra elements, Ann. of Mathematics 62(1955), 204–216.

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  2. A. Grothendieck, Espaces vectoriels topologiques, Pub. Soc. Math., S. Paulo, 1964.

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  3. R. C. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice Hall, 1965.

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  4. G. E. Silov, On the decomposition of a commutative normed ring into a direct sum of ideals, Math. Sbornik. 32, 2(1953), 353–364, also A.M.S. Translation, series 2.

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  5. L. Waelbroeck, Le calcul symbolique dans les algèbres commutatives, Journal de Math. P. et App. 33(1954), 147–186.

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  6. L. Waelbroeck, Topological vector spaces and algebras, Lecture Notes in Mathematics, Springer Verlag, v.230, 1971.

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© 1974 Springer-Verlag Berlin

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Waelbroeck, L. (1974). The holomorphic functional calculus and infinite dimensional holomorphy. In: Hayden, T.L., Suffridge, T.J. (eds) Proceedings on Infinite Dimensional Holomorphy. Lecture Notes in Mathematics, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069009

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  • DOI: https://doi.org/10.1007/BFb0069009

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06619-4

  • Online ISBN: 978-3-540-37915-7

  • eBook Packages: Springer Book Archive