ON THE WEAK TAUTNESS AND THE LOCALLY WEAK TAUTNESS OF A DOMAIN IN A BANACH SPACE

Le Mau Hai and Pham Khac Ban

Abstract

          It is shown that every Banach analytic manifold X which is weakly taut is hyperbolic in the sense of Kobayashi. A relation between the locally weak tautness and the weak tautness of a domain in Banach space is also established.