Franzoni, Tullio; Vesentini, Edoardo Holomorphic maps and invariant distances. (English) Zbl 0447.46040 North-Holland Mathematics Studies. 40. Notas de Matematica (69). Amsterdam - New York - Oxford: North-Holland Publishing Company. VIII, 228 p. $ 31.75; Dfl. 65.00 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 113 Documents MSC: 46G20 Infinite-dimensional holomorphy 32A30 Other generalizations of function theory of one complex variable 46E10 Topological linear spaces of continuous, differentiable or analytic functions 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis Keywords:differential metrics on domains in complex Banach spaces; Schwarz lemmas; maximum principles; polynomials; power series; multilinear maps; holomorphic functions; inverse mapping theorem; Taylor expansion; Gateaux holomorphy; plurisubharmonic and plurisuperharmonic functions; invariant pseudodistances; hyperbolic domains; local uniform convergence; automorphisms of the unit ball; invariant metrics; linear representation of the group of all holomorphic automorphisms Citations:Zbl 0409.46053; Zbl 0172.399; Zbl 0146.311; Zbl 0078.100; Zbl 0185.201; Zbl 0199.194; Zbl 0207.379 × Cite Format Result Cite Review PDF