Acta Mathematica Vietnamica
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ON THE WEAK TAUTNESS AND THE LOCALLY WEAK TAUTNESS OF A DOMAIN IN A BANACH SPACE
LE MAU HAI, PHAM KHAC BANpp. 39-50
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 a Banach space is also established.