Isomorphic $\ell ^p$-subspaces in Orlicz-Lorentz sequence spaces

DOI10.1090/S0002-9939-06-08266-9zbMath1100.46009OpenAlexW1572799761MaRDI QIDQ5290023

Anna Kaminska, Yves Raynaud

Publication date: 24 April 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08266-9

zbMATH Keywords

Orlicz-Lorentz sequence spaceMatuszewska-Orlicz lower and upper indices

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach sequence spaces (46B45)

Related Items (6)

Grand Lorentz sequence space and its multiplication operator ⋮ Non-squareness properties of Orlicz-Lorentz function spaces ⋮ Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces ⋮ The structure of symmetric basic sequences with applications to a class of Orlicz sequence spaces ⋮ Diameter of weak neighborhoods and the Radon-Nikodym property in Orlicz-Lorentz spaces ⋮ Isomorphic copies in the lattice \(E\) and its symmetrization \(E^{(*)}\) with applications to Orlicz-Lorentz spaces

Cites Work

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• Orlicz spaces and modular spaces
• Uniform rotundity of Musielak-Orlicz sequence spaces
• Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
• On symmetric basic sequences in Lorentz sequence spaces
• On the dual of Orlicz–Lorentz space
• Remarks on the Orlicz Function Spaces L^Φ(0, ∞)
• Some Remarks on Orlicz‐Lorentz Spaces
• On subspaces of Orlicz sequences spaces
• On modular sequence spaces

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