Characterization of nuclear spaces by means of additive subgroups

DOI10.1007/BF01215496zbMath0526.46004MaRDI QIDQ595151

Maria Banaszczyk, Wojciech Banaszczyk

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173434

zbMATH Keywords

a closed additive subgroup of a nuclear space is weakly closed

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (3)

A survey on reflexivity of abelian topological groups ⋮ On separation of points from additive subgroups of Banach spaces by continuous characters and positive definite functions ⋮ The Levy-Steinitz rearrangement theorem for duals of metrizable spaces

Cites Work

• On the existence of exotic Banach-Lie groups
• Closed subgroups of nuclear spaces are weakly closed
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