Banach spaces whose duals contain complemented subspaces isomorphic to C\([0,1]\)

DOI10.1016/0022-1236(73)90033-5zbMath0265.46019OpenAlexW2001393426MaRDI QIDQ2562336

Charles P. Stegall, James N. Hagler

Publication date: 1973

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(73)90033-5

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) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (22)

Complemented isometric copies of $L_{1}$ in dual Banach spaces ⋮ 𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2 ⋮ On primary simplex spaces ⋮ Isomorphic Structure of Cesàro and Tandori Spaces ⋮ Extreme points in duals of operator spaces ⋮ On Nonseparable Banach Spaces ⋮ Joint spreading models and uniform approximation of bounded operators ⋮ The topology of certain spaces of measures ⋮ The Banach spaces 𝐶(𝐾) and 𝐿^{𝑝}(𝜇)¹ ⋮ \(\ell _{\infty }(\ell _{1})\) and \(\ell _{1}(\ell _{\infty })\) are not isomorphic ⋮ A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem ⋮ The dual of the space of bounded operators on a Banach space ⋮ On Banach spaces which contain \(\ell^1(\tau)\) and types of measures on compact spaces ⋮ Closed ideals of operators acting on some families of sequence spaces ⋮ Certain classes of continuous linear operations ⋮ On dual \(L^1\)-spaces and injective bidual Banach spaces ⋮ The strong Schur property in Banach lattices ⋮ On the structure of non-weakly compact operators on Banach lattices ⋮ Positive embeddings of \(C(\Delta)\), \(L_ 1\), \(l_ 1(\Gamma)\), and \((\sum_ n + l^ n_\infty) l_ 1\) ⋮ Martingales, \(G_{delta}\)-embeddings and quotients of \(L_1\). ⋮ \((1+)\)-complemented, \((1+)\)-isomorphic copies of \(L_1\) in dual Banach spaces ⋮ BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES

Cites Work

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• The \(L_ p\) spaces
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• On Banach spaces containing $L_{1}(μ)$
• On C(S)-subspaces of separable Banach spaces
• On ω*-basic sequences and their applications to the study of Banach spaces
• Some more Banach spaces which contain l¹
• Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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