On the Orlicz function spaces \(L_M(0,\infty)\)

DOI10.1007/BF02760330zbMath0309.46018OpenAlexW2062391898MaRDI QIDQ1219015

N. J. Nielsen

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf02760330

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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (14)

The Schur and (weak) Dunford-Pettis properties in Banach lattices ⋮ On \(\ell ^ p\)-complemented copies in Orlicz spaces ⋮ Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices ⋮ On various notions of representability of \(l_r\)-spaces in Orlicz function spaces ⋮ Normed lattices ⋮ Subspaces generated by translations in rearrangement invariant spaces ⋮ Strictly singular inclusions into \(L^1 + L^\infty\) ⋮ Disjointly Homogeneous Banach Lattices and Applications ⋮ Disjointly homogeneous Banach lattices: duality and complementation ⋮ Rearrangement invariant spaces with Kato property ⋮ On the structure of Rosenthal's space \(X_\varphi\) in Orlicz function spaces ⋮ Disjointly strictly singular operators and interpolation ⋮ Isomorphic copies in the lattice \(E\) and its symmetrization \(E^{(*)}\) with applications to Orlicz-Lorentz spaces ⋮ On \(\ell^ p\)-copies in Musielak-Orlicz sequence spaces

Cites Work

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• On Orlicz sequence spaces
• On Orlicz sequence spaces. II
• Classical Banach spaces
• On Orlicz sequence spaces. III
• On bases and unconditional convergence of series in Banach spaces
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• On subspaces of Orlicz sequences spaces
• Application de l'étude de certaines formes linéaires aléatoires au plongement d'espaces de Banach dans des espaces $L^p$
• The homotopy structure of the linear group of a Banach space

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