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Article (.pdf)

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🔗 Source: mfat.imath.kiev.ua
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📄 Pages: 11 pages
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The authors define a space of holomorphic functions O1(U, E/F) and prove that it is isomorphic to the b-space O(U, E)/O(U, F), where U is an open pseudo-convex subset of Cn, E is a b-space, and F is a bornologically closed subspace of E. They also study the functor projective limit and its exactness on the category of b-spaces, and define a natural morphism i: O(U, E)/O(U, F) → O1(U, E/F) which is injective. Additionally, they prove that if U is an open subset of IRn and u: E → F is a bornologically surjective bounded linear mapping between b-spaces, then the bounded linear mapping E(U, u): E(U, E) → E(U, F) is bornologically surjective.

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The authors define a space of holomorphic functions O1(U, E/F) and prove that it is isomorphic to the b-space O(U, E)/O(U, F), where U is an open pseudo-convex...

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  • File Format: PDF
  • File Size: 208 KB
  • Pages: 11
  • Language: EN
  • Total Downloads: 55
  • Last Updated: 7 hours ago

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