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The regularity of spaces of germs of Fréchet-valued bounded holomorphic functions

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Publication:1306553
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zbMath0935.46034MaRDI QIDQ1306553

Nguyen Ha Thanh

Publication date: 24 April 2000

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)



zbMATH Keywords

nuclear Fréchet spacesgerms of \(F\)-valued holomorphic functionsproperty \((DN)\)


Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Other generalizations of function theory of one complex variable (32A30) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)


Related Items (3)

Some characterizations of the properties (DN) and ($\tilde\Omega$) ⋮ The regularity of spaces of germs of \(f\)-valued holomorphic functions ⋮ On the property (LB\(^\infty\)) of spaces of germs of holomorphic functions and the properties (\(\tilde\Omega \bar\Omega\)) of the Hartogs domains in infinite dimension







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