Canonical mappings for polynomials and holomorphic functions on Banach spaces

DOI10.1090/S0002-9939-01-05559-9zbMath0980.46035OpenAlexW1521172815MaRDI QIDQ2723484

Seán Dineen

Publication date: 5 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05559-9

zbMATH Keywords

ultrabornologicalbounded approximation propertyNachbin ported topologyfunctional representationsbidual of spaces of holomorphic functionspolynomials on certain Banach spacesTsirelson-James space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) (Spaces of) multilinear mappings, polynomials (46G25)

Cites Work

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• \(Q\)-reflexive Banach spaces
• Duality in spaces of nuclear and integral polynomials
• A Reflexive Space of Holomorphic Functions in Infinitely Many Variables
• Biduality in Spaces of Holomorphic Functions
• Holomorphic Germs on Tsirelson's Space
• TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS
• On locally convex vector spaces of continuous functions
• Geometric theory of spaces of integral polynomials and symmetric tensor products

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