Generalized limited sets with applications to spaces of type \(\ell_{\infty}(X)\) and \(c_0(X)\)

DOI10.1007/S40879-021-00478-5zbMath1489.46002OpenAlexW3175522166MaRDI QIDQ2115350

Drewnowski, Lech

Publication date: 15 March 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-021-00478-5

zbMATH Keywords

uncomplemented subspacetopological vector spacelimited setexhaustive measure\(c_0\)-type space\ell_\infty\)-type spacecopy of \(\ell_\infty

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sequence spaces (including Köthe sequence spaces) (46A45) Banach sequence spaces (46B45) Vector-valued measures and integration (46G10) General theory of locally convex spaces (46A03)

Related Items (1)

Rosenthal L∞-theorem revisited

Cites Work

• On Banach spaces with the Gelfand-Phillips property. II
• Copies of \(\ell_\infty\) in Köthe spaces of vector valued functions
• On Banach spaces with the Gelfand-Phillips property
• On limitedness in locally convex spaces
• An extension of a theorem of Rosenthal on operators acting from $l_{∞}(Γ)$
• Injectivity of spaces of bounded vector sequences and spaces of operators
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