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A nuclearity criterion for locally convex spaces having Schauder bases

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Publication:1062239
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zbMath0572.46004MaRDI QIDQ1062239

P. K. Kamthan

Publication date: 1982

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


zbMATH Keywords

characterization of nuclear spaces having equicontinuous Schauder basesGrothendieck-Pietsch-Köthe criterion for the nuclearity of a Köthe sequence spaceKolmogorov's diametersnormal topology


Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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) Summability and bases in topological vector spaces (46A35)


Related Items (2)

Criteria in nuclear Fréchet spaces and Silva spaces with refinement of the Cannon-Whittaker theory ⋮ \(\lambda\)-bases and \(\lambda\)-nuclearity




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