Quasinormability and topologies on spaces of polynomials

DOI10.1006/jmaa.1997.5555zbMath0913.46038OpenAlexW2061512307MaRDI QIDQ1378713

Socorro Ponte, José M. Ansemil, Fernando Blasco

Publication date: 17 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5555

zbMATH Keywords

Fréchet spacequasinormable spacespace of \(n\)-homogeneous continuous polynomialsTaskinen space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Infinite-dimensional holomorphy (46G20) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Cites Work

• On a problem of topologies in infinite dimensional holomorphy
• The compact open and the Nachbin ported topologies on spaces of holomorphic functions
• Holomorphic functions on Fréchet-Montel spaces
• A projective description of the Nachbin-ported topology
• Examples of non-distinguished Fréchet spaces
• Stefan Heinrich's Density Condition for Fréchet Spaces and the Characterization of the Distinguished Köthe Echelon Spaces
• Property (BB) and holomorphic functions on Fréchet-Montel spaces
• Topological tensor products of a Fréchet-Schwartz space and a Banach space
• Complementation in spaces of symmetric tensor products and polynomials
• Holomorphic Functions and the (BB)-Property.
• Produits tensoriels topologiques et espaces nucléaires
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