Topological influence of the presence of fully-λ-bases in locally convex spaces

DOI10.1007/BF02109396zbMath0839.46006OpenAlexW2014382394MaRDI QIDQ4868047

G. M. Deheri

Publication date: 5 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf02109396

zbMATH Keywords

nuclearityfully-\(\lambda\)-bases in locally convex spacesgeneralized \(\sigma\mu\)-topology of Ruckle

Mathematics Subject Classification ID

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Cites Work

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• \(\lambda\)-bases and \(\lambda\)-nuclearity
• On \(\Lambda\)-bases
• Criteria for nuclearity in terms of generalized sequence spaces
• The structure of nuclear Frechet spaces
• Topologies on sequence spaces
• On \(\Lambda_1(\alpha)\)-nuclearity
• ΛN(P)-Nuclearity and Basis
• Power series spaces $Λ_{k}(a)$ of finite type and related nuclearities
• Schwartz Spaces, Nuclear Spaces and Tensor Products
• Some criteria for nuclearity

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