Some criteria for nuclearity

DOI10.1017/S0305004100065956zbMath0615.46003MaRDI QIDQ4722635

Mohd Amin Sofi

Publication date: 1986

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

zbMATH Keywords

Schauder basisnuclear Fréchet spacesBK-spaceGrothendieck-Pietsch criterionDynin-Mityagin theorem

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Related Items (2)

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

Cites Work

• \(\lambda\)-bases and \(\lambda\)-nuclearity
• lambda-bases and their applications
• The structure of nuclear Frechet spaces
• Topologies on sequence spaces
• ΛN(P)-Nuclearity and Basis

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