Copies of \(c_{0}(\Gamma)\) and \(\ell _{\infty }(\Gamma)/c_{0}(\Gamma)\) in quotients of Banach spaces with applications to Orlicz and Marcinkiewicz spaces

DOI10.1016/S0019-3577(07)80021-8zbMath1151.46011OpenAlexW2029100477MaRDI QIDQ2465616

Marek Wójtowicz, Anatolij M. Plichko

Publication date: 7 January 2008

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(07)80021-8

zbMATH Keywords

Orlicz spaceslatticesMarcinkiewicz spacesquotient Banach spacesisomorphic copies

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach lattices (46B42) Nonseparable Banach spaces (46B26)

Related Items (3)

Quotients, \(\ell_\infty\) and abstract Cesàro spaces ⋮ The positive aspects of smoothness in Banach lattices ⋮ Operators preserving \(\ell_\infty\)

Cites Work

• The lattice copies of \(\ell_{\infty}(\Gamma)/c_{0}(\Gamma)\) in a quotient of a Banach lattice
• \(M\)-ideals in Banach spaces and Banach algebras
• Equivalent norms on spaces of bounded functions
• Banach lattices
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