@article{ASNSP_1979_4_6_1_39_0, author = {Vesentini, Edoardo}, title = {Variations on a theme of {Carath\'eodory}}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {39--68}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 6}, number = {1}, year = {1979}, mrnumber = {529475}, zbl = {0413.46039}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1979_4_6_1_39_0/} }
TY - JOUR AU - Vesentini, Edoardo TI - Variations on a theme of Carathéodory JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1979 SP - 39 EP - 68 VL - 6 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1979_4_6_1_39_0/ LA - en ID - ASNSP_1979_4_6_1_39_0 ER -
Vesentini, Edoardo. Variations on a theme of Carathéodory. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 6 (1979) no. 1, pp. 39-68. http://archive.numdam.org/item/ASNSP_1979_4_6_1_39_0/
[1] Oka's Heftungslemma and the Levi problem for complex spaces, Trans. Amer. Math. Soc., 111 (1964), pp. 345-366. | MR | Zbl
- ,[2] Elements de la théorie classique du potentiel, Centre de documentation universitaire, Paris, 1965. | MR | Zbl
,[3] A square root lemma for Banach star-algebras, J. London Math. Soc., 42 (1967), pp. 521-522. | MR | Zbl
,[4] Schwarz's lemma in normed linear spaces, Proc. Nat. Acad. Sci. USA, 62 (1969), pp. 1014-1017. | MR | Zbl
,[5] Banach algebras with involution and Möbius transformations, J. Functional Analysis, 11 (1972), pp. 1-16. | MR | Zbl
,[6] Functional analysis and semigroups, Rev. Edition, Colloquium Publications, Vol. 31, Amer. Math. Soc., Providence, R. I., 1957. | MR | Zbl
- ,[7] Caratheodorysche Metrik und Regularitätshullen, Math. Ann., 108 (1933), pp. 208-217. | JFM | MR | Zbl
,[8] Banach spaces with biholomorphically equivalent unit balls are isomorphic, Proc. Amer. Math. Soc., 58 (1976), pp. 129-133. | MR | Zbl
- ,[9] Hyperbolic manifolds and holomorphic mappings, Marcel Dekker, New York, 1970. | MR | Zbl
,[10] Über analytische Abbildungen des Gebietes |x| + |y| < 1 auf sich, Bull. Soc. Math. Grèce, 8 (1927), pp. 42-45. | JFM
,[11] Über analytische Abbildungen einer Klasse von vier dimensionalen Gebieten, Math. Ann., 99 (1928), pp. 321-341. | EuDML | JFM | MR
,[12] The Levi problem for complex spaces. II, Math. Ann., 146 (1962), pp. 195-216. | EuDML | MR | Zbl
,[13] Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie, North Holland, Amsterdam, 1937. | Zbl
,[14] On the spectral radius in Banach algebras with involution, Bull. London Math. Soc., 2 (1970), pp. 327-334. | MR | Zbl
,[15] Banach algebras with involution, Manuscripta Math., 6 (1972), pp. 245-290. | EuDML | MR | Zbl
,[16] Subharmonic functions, Springer-Verlag, Berlin, 1937. | JFM | MR | Zbl
,[17] General theory of Banach algebras, Van Nostrand, Princeton, 1960. | MR | Zbl
,[18] On bounded Reinhardt domains, Proc. Japan Acad., 50 (1974), 119-123. | MR | Zbl
,[19] The strong maximum modulus theorem for analytic functions into a Banach space, Proc. Amer. Math. Soc., 18 (1967), pp. 640-646. | MR | Zbl
- ,[20] Zu den Abbildungen durch analytische Functionen mehrerer komplexer Veränderlichen. Die Invarianz des Mittelpunktes von Kreiskörpern, Math. Ann., 104 (1931), pp. 244-259; 373-376. | EuDML | MR | Zbl
,[21] Maximum theorems for spectra, Essays on topology and related topics, Memoires dédiés à Georges DeRham, Springer-Verlag, 1970, pp. 111-117. | MR | Zbl
,[22] Maximum theorems for vector valued holomorphic functions, Rend. Sem. Mat. Fis. Milano, 40 (1970), pp. 24-55. | MR | Zbl
,[23] Invariant metrics on convex cones, Ann. Scuola Norm. Sup. Pisa, (4) 3 (1976), pp. 671-696. | EuDML | Numdam | MR | Zbl
,[24] Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques, Ann. Sci. Ec. Norm. Sup., (4) 9 (1976), pp. 203-282. | EuDML | Numdam | MR | Zbl
,[25] On isometric isomorphism of group algebras, Pacific J. Math., 1 (1951), pp. 305-311. | MR | Zbl
,[26] Functional analysis, Springer-Verlag, 1968.
,