Barrelledness of Generalized Sums of Normed Spaces

DOI10.1023/A:1022821224112zbMath1079.46500MaRDI QIDQ3366514

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Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30576

zbMATH Keywords

barrelled spacesgeneralized sequences

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Sequence spaces (including Köthe sequence spaces) (46A45) Barrelled spaces, bornological spaces (46A08)

Cites Work

• An abstract Banach-Steinhaus theorem and applications to function spaces
• Tonneliertheit in lokalkonvexen Vektorgruppen
• On the barrelledness of \(\ell^ p\)-direct sums of seminormed spaces for \(1\leq p\leq \infty\)
• On the barrelledness of spaces of bounded vector functions
• A uniform boundedness theorem for \(L^\infty(\mu,E)\)
• Dual spaces of certain vector sequence spaces
• Barrelled subspaces of spaces with subseries decompositions or Boolean rings of projections
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