This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M. Bonnard: Sur le calcul fonctionnel holomorphe multiforme dans les algèbres topologiques. Ann. scient. Éc. Norm. Sup. (4) 2(1969), 397–422.
M. Bonnard: Sur des applications du Calcul fonctionnel holomorphe. Bull. Soc. math. France, Mémoire 34(1937), 5–54.
H. Cartan: Sur les matrices holomorphes de n variables complexes. J. Math. pures appl. 19(1940), 1–26.
H. Cartan: Espaces fibrés analytiques. Sympos. Intern. Topol. Alg., Mexico, 1958; pp. 97–121.
I. ColojoarĂ: Elemente de Theorie SpectralĂ. Bucureşti, 1968.
B. Eckmann: Zur Homotopietheorie gefaserter Räume. Commen. Hath. Helv. 14(1942), 141–192.
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.
O. Forster: Funktionentheoretische Hilfsmittel in der Theorie der Kommutativen Banach-Algebren. Jber. Deutsch. Math. — Verein. 76(1974), 1–17.
T. W. Gamelin: Uniform Algebras. Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1969.
R.C. Gunning-H. Rossi: Analytic Functions of Several Complex Variables. Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1965.
S. T. Hu: Homotopy Theory. Academic Press, New York, 1959.
Yu. S. Il’yašenko: Multivalued analytic functions of elements of a commutative normed ring. Vestnik Mosk. Univ. No 5 (1969), 8–11 (russian).
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.).
A. Mallios: Note on the spectrum of topological inductive limit algebras. Bull. Soc. math. Grèce 8(1967), 127–131.
A. Mallios: On the spectra of topological algebras. J. Funct. Anal. 3(1969), 301–309.
A. Mallios: On functional representations of topological algebras. J. Funct. Anal. 3(1969), 301–309.
A. Mallios: On m-barrelled algebras. Prakt. Akad. Athēnōn 49(1974), 98–112.
A. Mallios: On the barrelledness of a topological algebra relative to its spectrum. Remarks. Bull. Soc. math. Grèce 15(1974), 152–161.
A. Mallios: On a convenient category of topological algebras, I. General theory. Prakt. Akad. Athēnōn 50(1975), 454–477.
A. Mallios: On a convenient category of topological algebras, II. Applications. Prakt. Akad. Athēnōn 51(1976), 245–263.
E. A. Michael: Locally multiplicatively-convex topological algebras. Mem. Amer. Math. Soc. No 11(1952) (repr. 1968).
M. Newman: Integral Matrices. Academic Press, New York, 1972.
M. E. Novodvorskii: On certain homotopic invariants of the space of maximal ideals. Mat. Zametki 1(1967), 487–494 (russian).
K. J. Ramspott: Stetige und holomorphe Schnitte in Bündeln mit homogener Faser. Math. Zeitschr. 89(1965), 234–246.
N. Sibony-J. Wermer: Generators for A(θ). Trans. Amer. Math. Soc. 194(1974), 103–114.
N. Steenrod: The Topology of Fibre Bundles. Princeton Univ. Press, Princeton, New Jersey, 1951.
J. L. Taylor: Topological invariants of the maximal ideal space of a Banach algebra. Adv. Math. 19(1976), 149–206.
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).
T. Ważewski: Sur les matrices dont les elements sont des fonctions continues. Compos. Math. 2(1935), 63–68.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0079519
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09550-7
Online ISBN: 978-3-540-34861-0
eBook Packages: Springer Book Archive