Operators preserving \(\ell_\infty\)

DOI10.1007/s13398-013-0122-xzbMath1331.47051OpenAlexW2026662688WikidataQ59399169 ScholiaQ59399169MaRDI QIDQ740700

Marek Wójtowicz

Publication date: 9 September 2014

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-013-0122-x

zbMATH Keywords

Banach latticeOrlicz spaceBanach spaceMarcinkiewicz spaceoperator preserving \(\ell_\infty\)operator weakly compact

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

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• The lattice copies of \(\ell_{\infty}(\Gamma)/c_{0}(\Gamma)\) in a quotient of a Banach lattice
• Banach lattices
• Copies of \(\ell_\infty\) in quotients of locally solid Riesz spaces
• The lattice-isometric copies of \(\ell_{\infty}(\Gamma)\) in quotients of Banach lattices
• Copies of \(c_{0}(\Gamma)\) and \(\ell _{\infty }(\Gamma)/c_{0}(\Gamma)\) in quotients of Banach spaces with applications to Orlicz and Marcinkiewicz spaces
• Subspaces of certain Banach Sequence Spaces
• ON COMPLEMENTED AND QUASI-COMPLEMENTED SUBSPACES OF QUOTIENTS OF C(S) FOR STONIAN S
• On relatively disjoint families of measures, with some applications to Banach space theory

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