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Some Characterizations of the Properties ■~∞ and LB_∞

Some Characterizations of the Properties ■~∞ and LB_∞
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摘要 The aim of this paper is to give some properties of the linear topological invariant LB^-∞ 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 LB^-∞ having a basis.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第4期613-628,共16页 数学学报(英文版)
关键词 Holomorphic functions Topological linear invariants Dirichlet representation Holomorphic functions Topological linear invariants Dirichlet representation
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  • 1Galindo, P., Garcia, D., Maestre, M.: Entire function of bounded type on Frechet spaces. Math. Narch.,161, 185-198 (1993).
  • 2Le, M. H., Thai, T. Q.: Linear topological invariants and Frechet valued holomorphic functions of uniformly bounded type on Frechet spaces. Publ. of CFCA, 2, 23-41 (1998).
  • 3Le, M. H., Bui, Q.H.: Holomorphic functions of uniformly bounded type and linear topological invariants(Hub), LB and L Boc. Publ. of CFCA, 3, 19-34 (1999).
  • 4Schaefer, H.: Topological vector spaces, Springer Verlag, Berlin-Heidelberg-New York, 1971.
  • 5Pietsch, A.: Nuclear locally convex spaces. Ergeb. Math. Grenzgeb., Springer Verlag, 66 (1971).
  • 6Vogt, D.: Frechetraume zwischen denen jede stetige linear Abbildung beschrauktist. "J. Rcine Angew,Math.. 345, 182-200 (1983).
  • 7Vogt, D.: Eine Charakterisierung der Potenzeihenraume von eadlichem type und ihre Folgerungen. Manuscripta Math., 37, 269-301 (1982).
  • 8Vogt, D.: On two classes of (F)-spaces. Arch. Math., 45, 255 266 (1985).
  • 9Dineen, S.: Complex Analysis in Locally Convex Spaces, North-Holland Math. Stud., 57 (1981).
  • 10Phan, T. D., Duong, L. S.: Separately holomorphic functions, local Dirichlet representation and the property(DN). Publ. of CFCA, 1, 21 -30 (1997).

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