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Principal holomorphic fiber bundles as applied to topological algebras

  • III Section Several Complex Variables
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References

  1. M. Bonnard: Sur le calcul fonctionnel holomorphe multiforme dans les algèbres topologiques. Ann. scient. Éc. Norm. Sup. (4) 2(1969), 397–422.

    MathSciNet  MATH  Google Scholar 

  2. M. Bonnard: Sur des applications du Calcul fonctionnel holomorphe. Bull. Soc. math. France, Mémoire 34(1937), 5–54.

    MathSciNet  MATH  Google Scholar 

  3. H. Cartan: Sur les matrices holomorphes de n variables complexes. J. Math. pures appl. 19(1940), 1–26.

    MathSciNet  MATH  Google Scholar 

  4. H. Cartan: Espaces fibrés analytiques. Sympos. Intern. Topol. Alg., Mexico, 1958; pp. 97–121.

    Google Scholar 

  5. I. ColojoarĂ: Elemente de Theorie SpectralĂ. Bucureşti, 1968.

    Google Scholar 

  6. B. Eckmann: Zur Homotopietheorie gefaserter Räume. Commen. Hath. Helv. 14(1942), 141–192.

    Article  MathSciNet  MATH  Google Scholar 

  7. C. Ehresmann: Sur les applications continues d’un espace dans un espace fibré ou dans un revêtement. Bull. Soc. math. France 72(1944), 27–54.

    MathSciNet  MATH  Google Scholar 

  8. O. Forster: Funktionentheoretische Hilfsmittel in der Theorie der Kommutativen Banach-Algebren. Jber. Deutsch. Math. — Verein. 76(1974), 1–17.

    MATH  Google Scholar 

  9. T. W. Gamelin: Uniform Algebras. Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1969.

    MATH  Google Scholar 

  10. R.C. Gunning-H. Rossi: Analytic Functions of Several Complex Variables. Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1965.

    MATH  Google Scholar 

  11. S. T. Hu: Homotopy Theory. Academic Press, New York, 1959.

    MATH  Google Scholar 

  12. Yu. S. Il’yašenko: Multivalued analytic functions of elements of a commutative normed ring. Vestnik Mosk. Univ. No 5 (1969), 8–11 (russian).

    Google Scholar 

  13. V. Ya. Lin: Holomorphic fiberings and multivalued functions of elements of a Banach algebra. Funkt. Anal. Pril. 7(1973), 43–51 (russian) = Funct. Anal. Appl. 7(1973), 122–128 (english transl.).

    MathSciNet  Google Scholar 

  14. A. Mallios: Note on the spectrum of topological inductive limit algebras. Bull. Soc. math. Grèce 8(1967), 127–131.

    MathSciNet  MATH  Google Scholar 

  15. A. Mallios: On the spectra of topological algebras. J. Funct. Anal. 3(1969), 301–309.

    Article  MathSciNet  MATH  Google Scholar 

  16. A. Mallios: On functional representations of topological algebras. J. Funct. Anal. 3(1969), 301–309.

    Article  MathSciNet  MATH  Google Scholar 

  17. A. Mallios: On m-barrelled algebras. Prakt. Akad. Athēnōn 49(1974), 98–112.

    MathSciNet  Google Scholar 

  18. A. Mallios: On the barrelledness of a topological algebra relative to its spectrum. Remarks. Bull. Soc. math. Grèce 15(1974), 152–161.

    MathSciNet  MATH  Google Scholar 

  19. A. Mallios: On a convenient category of topological algebras, I. General theory. Prakt. Akad. Athēnōn 50(1975), 454–477.

    MathSciNet  Google Scholar 

  20. A. Mallios: On a convenient category of topological algebras, II. Applications. Prakt. Akad. Athēnōn 51(1976), 245–263.

    MathSciNet  Google Scholar 

  21. E. A. Michael: Locally multiplicatively-convex topological algebras. Mem. Amer. Math. Soc. No 11(1952) (repr. 1968).

    Google Scholar 

  22. M. Newman: Integral Matrices. Academic Press, New York, 1972.

    MATH  Google Scholar 

  23. M. E. Novodvorskii: On certain homotopic invariants of the space of maximal ideals. Mat. Zametki 1(1967), 487–494 (russian).

    MathSciNet  Google Scholar 

  24. K. J. Ramspott: Stetige und holomorphe Schnitte in Bündeln mit homogener Faser. Math. Zeitschr. 89(1965), 234–246.

    Article  MathSciNet  MATH  Google Scholar 

  25. N. Sibony-J. Wermer: Generators for A(θ). Trans. Amer. Math. Soc. 194(1974), 103–114.

    MathSciNet  MATH  Google Scholar 

  26. N. Steenrod: The Topology of Fibre Bundles. Princeton Univ. Press, Princeton, New Jersey, 1951.

    Book  MATH  Google Scholar 

  27. J. L. Taylor: Topological invariants of the maximal ideal space of a Banach algebra. Adv. Math. 19(1976), 149–206.

    Article  MathSciNet  MATH  Google Scholar 

  28. J. Wagner: Faisceau structural associē à une algèbre de Banach. Sém. P. Lelong, 9e ann. (1968/69), 164–167. Springer-Verlag, Lecture Notes in Math. No 116(1970).

    Google Scholar 

  29. T. Ważewski: Sur les matrices dont les elements sont des fonctions continues. Compos. Math. 2(1935), 63–68.

    MathSciNet  MATH  Google Scholar 

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Cabiria Andreian Cazacu Aurel Cornea Martin Jurchescu Ion Suciu

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© 1979 Springer-Verlag

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Mallios, A. (1979). Principal holomorphic fiber bundles as applied to topological algebras. In: Cazacu, C.A., Cornea, A., Jurchescu, M., Suciu, I. (eds) Romanian-Finnish Seminar on Complex Analysis. Lecture Notes in Mathematics, vol 743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079519

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  • DOI: https://doi.org/10.1007/BFb0079519

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  • Print ISBN: 978-3-540-09550-7

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