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On the barrelledness of \(\ell^ p\)-direct sums of seminormed spaces for \(1\leq p\leq \infty\)

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Publication:1322611
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DOI10.1007/BF01201785zbMath0794.46003MaRDI QIDQ1322611

Walter Roelcke, Jerzy Kąkol

Publication date: 21 August 1994

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


zbMATH Keywords

barrelledseminormed spaces\(\ell^ p\)-direct sumsemi-Baire- likeultrabarrelled


Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Barrelled spaces, bornological spaces (46A08)


Related Items

On the barrelledness of spaces of bounded vector functions ⋮ Barrelledness of Generalized Sums of Normed Spaces



Cites Work

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  • Sequential closure conditions and Baire-like spaces
  • C//kappa(X) and a property of (db)-spaces
  • Tonneliertheit in lokalkonvexen Vektorgruppen
  • Topological linear spaces with some Baire-like properties
  • Über nicht-vollständige Montelräume
  • Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
  • On Certain Classes of Linear Topological Spaces
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