Variations on a theme of Carathéodory
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 6 (1979) no. 1, pp. 39-68. 
@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  - 
%0 Journal Article
%A Vesentini, Edoardo
%T Variations on a theme of Carathéodory
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1979
%P 39-68
%V 6
%N 1
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1979_4_6_1_39_0/
%G en
%F ASNSP_1979_4_6_1_39_0
Vesentini, Edoardo. Variations on a theme of Carathéodory. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 6 (1979) no. 1, pp. 39-68. http://archive.numdam.org/item/ASNSP_1979_4_6_1_39_0/

[1] A. Andreotti - R. Narasimhan, Oka's Heftungslemma and the Levi problem for complex spaces, Trans. Amer. Math. Soc., 111 (1964), pp. 345-366. | MR | Zbl

[2] M. Brelot, Elements de la théorie classique du potentiel, Centre de documentation universitaire, Paris, 1965. | MR | Zbl

[3] J.W.M. Ford, A square root lemma for Banach star-algebras, J. London Math. Soc., 42 (1967), pp. 521-522. | MR | Zbl

[4] L.A. Harris, Schwarz's lemma in normed linear spaces, Proc. Nat. Acad. Sci. USA, 62 (1969), pp. 1014-1017. | MR | Zbl

[5] L.A. Harris, Banach algebras with involution and Möbius transformations, J. Functional Analysis, 11 (1972), pp. 1-16. | MR | Zbl

[6] E. Hille - R.S. Phillips, Functional analysis and semigroups, Rev. Edition, Colloquium Publications, Vol. 31, Amer. Math. Soc., Providence, R. I., 1957. | MR | Zbl

[7] H. Horstmann, Caratheodorysche Metrik und Regularitätshullen, Math. Ann., 108 (1933), pp. 208-217. | JFM | MR | Zbl

[8] W. Kaup - H. Upmeier, Banach spaces with biholomorphically equivalent unit balls are isomorphic, Proc. Amer. Math. Soc., 58 (1976), pp. 129-133. | MR | Zbl

[9] S. Kobayashi, Hyperbolic manifolds and holomorphic mappings, Marcel Dekker, New York, 1970. | MR | Zbl

[10] N. Kritikos, Über analytische Abbildungen des Gebietes |x| + |y| < 1 auf sich, Bull. Soc. Math. Grèce, 8 (1927), pp. 42-45. | JFM

[11] N. Kritikos, Über analytische Abbildungen einer Klasse von vier dimensionalen Gebieten, Math. Ann., 99 (1928), pp. 321-341. | EuDML | JFM | MR

[12] R. Narasimhan, The Levi problem for complex spaces. II, Math. Ann., 146 (1962), pp. 195-216. | EuDML | MR | Zbl

[13] P. Noverraz, Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie, North Holland, Amsterdam, 1937. | Zbl

[14] V. Pták, On the spectral radius in Banach algebras with involution, Bull. London Math. Soc., 2 (1970), pp. 327-334. | MR | Zbl

[15] V. Pták, Banach algebras with involution, Manuscripta Math., 6 (1972), pp. 245-290. | EuDML | MR | Zbl

[16] T. Radó, Subharmonic functions, Springer-Verlag, Berlin, 1937. | JFM | MR | Zbl

[17] C.E. Rickart, General theory of Banach algebras, Van Nostrand, Princeton, 1960. | MR | Zbl

[18] T. Sunada, On bounded Reinhardt domains, Proc. Japan Acad., 50 (1974), 119-123. | MR | Zbl

[19] E. Thorp - R. Whitley, The strong maximum modulus theorem for analytic functions into a Banach space, Proc. Amer. Math. Soc., 18 (1967), pp. 640-646. | MR | Zbl

[20] P. Thullen, 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] E. Vesentini, Maximum theorems for spectra, Essays on topology and related topics, Memoires dédiés à Georges DeRham, Springer-Verlag, 1970, pp. 111-117. | MR | Zbl

[22] E. Vesentini, Maximum theorems for vector valued holomorphic functions, Rend. Sem. Mat. Fis. Milano, 40 (1970), pp. 24-55. | MR | Zbl

[23] E. Vesentini, Invariant metrics on convex cones, Ann. Scuola Norm. Sup. Pisa, (4) 3 (1976), pp. 671-696. | EuDML | Numdam | MR | Zbl

[24] J.-P. Vigué, 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] J.G. Wendel, On isometric isomorphism of group algebras, Pacific J. Math., 1 (1951), pp. 305-311. | MR | Zbl

[26] K. Yoshida, Functional analysis, Springer-Verlag, 1968.