Some geometric aspects of operators acting from \(L_{1}\)

DOI10.1007/s11117-005-0041-yzbMath1110.46011OpenAlexW2033283520MaRDI QIDQ850600

Mikhail M. Popov, Volodymyr V. Mykhaylyuk

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0041-y

zbMATH Keywords

norm-attaining operatorsnarrow operatorsrepresentable operatorsoperators on \(L_1\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) Linear operators on function spaces (general) (47B38) Linear spaces of operators (47L05)

Related Items (1)

A lattice approach to narrow operators

Cites Work

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• A characterization of non-Dunford-Pettis operators on \(L^ 1\).
• An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\)
• On projections in \(L_1\)
• Contractive projections on an \(L_ 1\) space
• Contractive projections in \(L_ p\)-spaces
• Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\)
• Projections in certain Banach spaces
• The Three-Space Problem for L 1
• On Operators That are Almost Isometric on the Positive Cones of L p -Spaces, 1 < p < +&#8734
• Subspaces of $L^{1}$ containing $L^{1}$

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