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Let E and F be locally convex spaces over C. We assume
that E is a nuclear space and F is a Banach space. Let f be
a holomorphic mapping from E into F. Then we show that f is of
uniformly bounded type if and only if, for an arbitrary locally convex
space G containing E as a closed subspace, f can be extended
to a holomorphic mapping from G into F.
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참고문헌 (6)
참고문헌 신청
/ 1975 / Holomorphic functions on nuclear spaces 106
/ 1978 / A Hahn-Banach extension Theorem for analyticmappings : 324 ~
/ 1981 / Complex Analysis in Localy Convex Spaces 57
/ 1984 / Extension of entire functions on nuclear localy convexspaces 92 (4)
/ 1999 / Complex Analysis on Innite Dimensional Spaces
/ 1978 / A Hahn-Banach extension Theorem for analyticmappings : 324 ~
/ 1981 / Complex Analysis in Localy Convex Spaces 57
/ 1984 / Extension of entire functions on nuclear localy convexspaces 92 (4)
/ 1999 / Complex Analysis on Innite Dimensional Spaces
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