PORTUGALIAE MATHEMATICA Vol. 52, No. 3, pp. 319330 (1995) 

Central Morphisms and Envelopes of HolomorphyAthanasios KyriazisDepartment of Mathematics, University of Athens,Panepistimiopolis, Athens 157 84  GREECE Abstract: In this paper we study a particular class of continuous algebra morphisms the socalled $\bfc{C}$central $\bfc{A}$morphisms; i.e. continuous $\bfc{A}$morphisms between topological $\bfc{A}$algebras (viz. we take coefficients from a topological algebra $\bfc{A}$) such that their images have $\bfc{C}$trivial center. In particular, we examine such morphisms for algebravalued holomorphic functions on a complex manifold $X$, giving conditions that the set of the previous morphisms be the classical envelope of holomorphy of $X$. Keywords: Central morphisms; envelopes of holomorphy; Runge pairs; inductive limits; tensor products; spectra. Classification (MSC2000): 46M05, 32E15, 32E25; 46M40, 32E10 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1995 Sociedade Portuguesa de Matemática
