Abstract
The aim of this paper is to give some properties of the linear topological invariant \( {\widetilde{{LB}}}^{\infty }.\) Using these results we show that a nuclear Fréchet space F has the property LB ∞ if and only if every separately holomorphic function on an open subset U × V of E × F* has a local Dirichlet representation, where E is a nuclear Fréchet space with the property \( {\widetilde{{LB}}}^{\infty }\)having a basis.
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Thai, T.Q. Some Characterizations of the Properties \( {\widetilde{{LB}}}^{\infty }\)and LB ∞ . Acta Math Sinica 20, 613–628 (2004). https://doi.org/10.1007/s10114-003-0299-6
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DOI: https://doi.org/10.1007/s10114-003-0299-6