An elementary proof of the Eberlein-Šmulian theorem and the double limit criterion

DOI10.1007/BF01202501zbMath0586.46010MaRDI QIDQ1071995

Stefan Kremp

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Double Limit Criterion for Banach spacesEberlein-Šmulian Theorem

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Banach spaces of continuous, differentiable or analytic functions (46E15) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

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Cites Work

• Unnamed Item
• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• An elementary proof of the Eberlein-Šmulian theorem
• Sequential denseness and the Eberlein-Šmulian theorem
• A Device Of R. J. Whitley's Applied to Pointwise Compactness in Spaces of Continuous Functions

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